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Finding the Third Proportional to 42,883 and 57,289

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Solution

The third proportional to 42,883 and 57,289 is: 76,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,883 : 57,289 = 57,289 : x
  2. Step 2: Convert to fraction form
    42,883/57,289 = 57,289/x
  3. Step 3: Cross multiply
    42,883x = 57,289 × 57,289
  4. Step 4: Simplify right side
    42,883x = 3,282,029,521
  5. Step 5: Solve for x
    x = 3,282,029,521/42,883
  6. Step 6: Final answer
    x = 76,534.51

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.