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Finding the Third Proportional to 24,480 and 53,523

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Solution

The third proportional to 24,480 and 53,523 is: 117,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480 : 53,523 = 53,523 : x
  2. Step 2: Convert to fraction form
    24,480/53,523 = 53,523/x
  3. Step 3: Cross multiply
    24,480x = 53,523 × 53,523
  4. Step 4: Simplify right side
    24,480x = 2,864,711,529
  5. Step 5: Solve for x
    x = 2,864,711,529/24,480
  6. Step 6: Final answer
    x = 117,022.53

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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.