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Finding the Third Proportional to 8,937 and 13,645.97

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Solution

The third proportional to 8,937 and 13,645.97 is: 20,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937 : 13,645.97 = 13,645.97 : x
  2. Step 2: Convert to fraction form
    8,937/13,645.97 = 13,645.97/x
  3. Step 3: Cross multiply
    8,937x = 13,645.97 × 13,645.97
  4. Step 4: Simplify right side
    8,937x = 186,212,463.13
  5. Step 5: Solve for x
    x = 186,212,463.13/8,937
  6. Step 6: Final answer
    x = 20,836.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.