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Finding the Third Proportional to 42,228 and 63,513

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Solution

The third proportional to 42,228 and 63,513 is: 95,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,228 : 63,513 = 63,513 : x
  2. Step 2: Convert to fraction form
    42,228/63,513 = 63,513/x
  3. Step 3: Cross multiply
    42,228x = 63,513 × 63,513
  4. Step 4: Simplify right side
    42,228x = 4,033,901,169
  5. Step 5: Solve for x
    x = 4,033,901,169/42,228
  6. Step 6: Final answer
    x = 95,526.69

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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.