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Finding the Third Proportional to 24,758 and 38,362

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Solution

The third proportional to 24,758 and 38,362 is: 59,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758 : 38,362 = 38,362 : x
  2. Step 2: Convert to fraction form
    24,758/38,362 = 38,362/x
  3. Step 3: Cross multiply
    24,758x = 38,362 × 38,362
  4. Step 4: Simplify right side
    24,758x = 1,471,643,044
  5. Step 5: Solve for x
    x = 1,471,643,044/24,758
  6. Step 6: Final answer
    x = 59,441.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.