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Finding the Third Proportional to 17,708.50 and 24,061.75

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Solution

The third proportional to 17,708.50 and 24,061.75 is: 32,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.50 : 24,061.75 = 24,061.75 : x
  2. Step 2: Convert to fraction form
    17,708.50/24,061.75 = 24,061.75/x
  3. Step 3: Cross multiply
    17,708.50x = 24,061.75 × 24,061.75
  4. Step 4: Simplify right side
    17,708.50x = 578,967,813.06
  5. Step 5: Solve for x
    x = 578,967,813.06/17,708.50
  6. Step 6: Final answer
    x = 32,694.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.