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Finding the Third Proportional to 24,471 and 53,382

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Solution

The third proportional to 24,471 and 53,382 is: 116,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471 : 53,382 = 53,382 : x
  2. Step 2: Convert to fraction form
    24,471/53,382 = 53,382/x
  3. Step 3: Cross multiply
    24,471x = 53,382 × 53,382
  4. Step 4: Simplify right side
    24,471x = 2,849,637,924
  5. Step 5: Solve for x
    x = 2,849,637,924/24,471
  6. Step 6: Final answer
    x = 116,449.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.