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Finding the Third Proportional to 24,707 and 38,215

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Solution

The third proportional to 24,707 and 38,215 is: 59,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707 : 38,215 = 38,215 : x
  2. Step 2: Convert to fraction form
    24,707/38,215 = 38,215/x
  3. Step 3: Cross multiply
    24,707x = 38,215 × 38,215
  4. Step 4: Simplify right side
    24,707x = 1,460,386,225
  5. Step 5: Solve for x
    x = 1,460,386,225/24,707
  6. Step 6: Final answer
    x = 59,108.20

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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.