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Finding the Third Proportional to 14,989.13 and 32,380.13

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Solution

The third proportional to 14,989.13 and 32,380.13 is: 69,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,989.13 : 32,380.13 = 32,380.13 : x
  2. Step 2: Convert to fraction form
    14,989.13/32,380.13 = 32,380.13/x
  3. Step 3: Cross multiply
    14,989.13x = 32,380.13 × 32,380.13
  4. Step 4: Simplify right side
    14,989.13x = 1,048,472,495.02
  5. Step 5: Solve for x
    x = 1,048,472,495.02/14,989.13
  6. Step 6: Final answer
    x = 69,948.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.