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Finding the Third Proportional to 10,144.13 and 14,824.13

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Solution

The third proportional to 10,144.13 and 14,824.13 is: 21,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.13 : 14,824.13 = 14,824.13 : x
  2. Step 2: Convert to fraction form
    10,144.13/14,824.13 = 14,824.13/x
  3. Step 3: Cross multiply
    10,144.13x = 14,824.13 × 14,824.13
  4. Step 4: Simplify right side
    10,144.13x = 219,754,682.02
  5. Step 5: Solve for x
    x = 219,754,682.02/10,144.13
  6. Step 6: Final answer
    x = 21,663.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.