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Finding the Third Proportional to 38,814 and 59,352

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Solution

The third proportional to 38,814 and 59,352 is: 90,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,814 : 59,352 = 59,352 : x
  2. Step 2: Convert to fraction form
    38,814/59,352 = 59,352/x
  3. Step 3: Cross multiply
    38,814x = 59,352 × 59,352
  4. Step 4: Simplify right side
    38,814x = 3,522,659,904
  5. Step 5: Solve for x
    x = 3,522,659,904/38,814
  6. Step 6: Final answer
    x = 90,757.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.