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Finding the Third Proportional to 42,162.75 and 63,522

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Solution

The third proportional to 42,162.75 and 63,522 is: 95,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,162.75 : 63,522 = 63,522 : x
  2. Step 2: Convert to fraction form
    42,162.75/63,522 = 63,522/x
  3. Step 3: Cross multiply
    42,162.75x = 63,522 × 63,522
  4. Step 4: Simplify right side
    42,162.75x = 4,035,044,484
  5. Step 5: Solve for x
    x = 4,035,044,484/42,162.75
  6. Step 6: Final answer
    x = 95,701.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.