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Finding the Third Proportional to 42,882.75 and 64,121.63

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Solution

The third proportional to 42,882.75 and 64,121.63 is: 95,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,882.75 : 64,121.63 = 64,121.63 : x
  2. Step 2: Convert to fraction form
    42,882.75/64,121.63 = 64,121.63/x
  3. Step 3: Cross multiply
    42,882.75x = 64,121.63 × 64,121.63
  4. Step 4: Simplify right side
    42,882.75x = 4,111,582,792.64
  5. Step 5: Solve for x
    x = 4,111,582,792.64/42,882.75
  6. Step 6: Final answer
    x = 95,879.64

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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.