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Finding the Third Proportional to 42,228 and 63,516

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Solution

The third proportional to 42,228 and 63,516 is: 95,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,228 : 63,516 = 63,516 : x
  2. Step 2: Convert to fraction form
    42,228/63,516 = 63,516/x
  3. Step 3: Cross multiply
    42,228x = 63,516 × 63,516
  4. Step 4: Simplify right side
    42,228x = 4,034,282,256
  5. Step 5: Solve for x
    x = 4,034,282,256/42,228
  6. Step 6: Final answer
    x = 95,535.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.