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Finding the Third Proportional to 24,217 and 52,258

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Solution

The third proportional to 24,217 and 52,258 is: 112,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217 : 52,258 = 52,258 : x
  2. Step 2: Convert to fraction form
    24,217/52,258 = 52,258/x
  3. Step 3: Cross multiply
    24,217x = 52,258 × 52,258
  4. Step 4: Simplify right side
    24,217x = 2,730,898,564
  5. Step 5: Solve for x
    x = 2,730,898,564/24,217
  6. Step 6: Final answer
    x = 112,767.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.