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Finding the Third Proportional to 10,990.13 and 16,120.13

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Solution

The third proportional to 10,990.13 and 16,120.13 is: 23,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.13 : 16,120.13 = 16,120.13 : x
  2. Step 2: Convert to fraction form
    10,990.13/16,120.13 = 16,120.13/x
  3. Step 3: Cross multiply
    10,990.13x = 16,120.13 × 16,120.13
  4. Step 4: Simplify right side
    10,990.13x = 259,858,430.02
  5. Step 5: Solve for x
    x = 259,858,430.02/10,990.13
  6. Step 6: Final answer
    x = 23,644.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.