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Finding the Third Proportional to 24,570 and 38,133

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Solution

The third proportional to 24,570 and 38,133 is: 59,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,570 : 38,133 = 38,133 : x
  2. Step 2: Convert to fraction form
    24,570/38,133 = 38,133/x
  3. Step 3: Cross multiply
    24,570x = 38,133 × 38,133
  4. Step 4: Simplify right side
    24,570x = 1,454,125,689
  5. Step 5: Solve for x
    x = 1,454,125,689/24,570
  6. Step 6: Final answer
    x = 59,182.97

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