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Finding the Third Proportional to 14,486.03 and 31,737.13

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Solution

The third proportional to 14,486.03 and 31,737.13 is: 69,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.03 : 31,737.13 = 31,737.13 : x
  2. Step 2: Convert to fraction form
    14,486.03/31,737.13 = 31,737.13/x
  3. Step 3: Cross multiply
    14,486.03x = 31,737.13 × 31,737.13
  4. Step 4: Simplify right side
    14,486.03x = 1,007,245,351.21
  5. Step 5: Solve for x
    x = 1,007,245,351.21/14,486.03
  6. Step 6: Final answer
    x = 69,532.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.