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Finding the Third Proportional to 42,228 and 62,964

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Solution

The third proportional to 42,228 and 62,964 is: 93,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,228 : 62,964 = 62,964 : x
  2. Step 2: Convert to fraction form
    42,228/62,964 = 62,964/x
  3. Step 3: Cross multiply
    42,228x = 62,964 × 62,964
  4. Step 4: Simplify right side
    42,228x = 3,964,465,296
  5. Step 5: Solve for x
    x = 3,964,465,296/42,228
  6. Step 6: Final answer
    x = 93,882.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.