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Finding the Third Proportional to 24,547 and 38,096

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Solution

The third proportional to 24,547 and 38,096 is: 59,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547 : 38,096 = 38,096 : x
  2. Step 2: Convert to fraction form
    24,547/38,096 = 38,096/x
  3. Step 3: Cross multiply
    24,547x = 38,096 × 38,096
  4. Step 4: Simplify right side
    24,547x = 1,451,305,216
  5. Step 5: Solve for x
    x = 1,451,305,216/24,547
  6. Step 6: Final answer
    x = 59,123.53

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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.