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Finding the Third Proportional to 42,288 and 63,330

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Solution

The third proportional to 42,288 and 63,330 is: 94,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,288 : 63,330 = 63,330 : x
  2. Step 2: Convert to fraction form
    42,288/63,330 = 63,330/x
  3. Step 3: Cross multiply
    42,288x = 63,330 × 63,330
  4. Step 4: Simplify right side
    42,288x = 4,010,688,900
  5. Step 5: Solve for x
    x = 4,010,688,900/42,288
  6. Step 6: Final answer
    x = 94,842.25

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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.