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Finding the Third Proportional to 24,384 and 52,656

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Solution

The third proportional to 24,384 and 52,656 is: 113,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384 : 52,656 = 52,656 : x
  2. Step 2: Convert to fraction form
    24,384/52,656 = 52,656/x
  3. Step 3: Cross multiply
    24,384x = 52,656 × 52,656
  4. Step 4: Simplify right side
    24,384x = 2,772,654,336
  5. Step 5: Solve for x
    x = 2,772,654,336/24,384
  6. Step 6: Final answer
    x = 113,707.94

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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.