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Finding the Third Proportional to 24,700.50 and 52,497

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Solution

The third proportional to 24,700.50 and 52,497 is: 111,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700.50 : 52,497 = 52,497 : x
  2. Step 2: Convert to fraction form
    24,700.50/52,497 = 52,497/x
  3. Step 3: Cross multiply
    24,700.50x = 52,497 × 52,497
  4. Step 4: Simplify right side
    24,700.50x = 2,755,935,009
  5. Step 5: Solve for x
    x = 2,755,935,009/24,700.50
  6. Step 6: Final answer
    x = 111,574.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.