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Finding the Third Proportional to 24,484 and 52,856

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Solution

The third proportional to 24,484 and 52,856 is: 114,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484 : 52,856 = 52,856 : x
  2. Step 2: Convert to fraction form
    24,484/52,856 = 52,856/x
  3. Step 3: Cross multiply
    24,484x = 52,856 × 52,856
  4. Step 4: Simplify right side
    24,484x = 2,793,756,736
  5. Step 5: Solve for x
    x = 2,793,756,736/24,484
  6. Step 6: Final answer
    x = 114,105.40

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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.