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Finding the Third Proportional to 14,864 and 29,352

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Solution

The third proportional to 14,864 and 29,352 is: 57,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864 : 29,352 = 29,352 : x
  2. Step 2: Convert to fraction form
    14,864/29,352 = 29,352/x
  3. Step 3: Cross multiply
    14,864x = 29,352 × 29,352
  4. Step 4: Simplify right side
    14,864x = 861,539,904
  5. Step 5: Solve for x
    x = 861,539,904/14,864
  6. Step 6: Final answer
    x = 57,961.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.