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Finding the Third Proportional to 24,972 and 53,497

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Solution

The third proportional to 24,972 and 53,497 is: 114,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,972 : 53,497 = 53,497 : x
  2. Step 2: Convert to fraction form
    24,972/53,497 = 53,497/x
  3. Step 3: Cross multiply
    24,972x = 53,497 × 53,497
  4. Step 4: Simplify right side
    24,972x = 2,861,929,009
  5. Step 5: Solve for x
    x = 2,861,929,009/24,972
  6. Step 6: Final answer
    x = 114,605.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.