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Finding the Third Proportional to 10,729.13 and 25,368.19

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Solution

The third proportional to 10,729.13 and 25,368.19 is: 59,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.13 : 25,368.19 = 25,368.19 : x
  2. Step 2: Convert to fraction form
    10,729.13/25,368.19 = 25,368.19/x
  3. Step 3: Cross multiply
    10,729.13x = 25,368.19 × 25,368.19
  4. Step 4: Simplify right side
    10,729.13x = 643,544,937.04
  5. Step 5: Solve for x
    x = 643,544,937.04/10,729.13
  6. Step 6: Final answer
    x = 59,981.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.