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Finding the Third Proportional to 42,672 and 57,048

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Solution

The third proportional to 42,672 and 57,048 is: 76,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,672 : 57,048 = 57,048 : x
  2. Step 2: Convert to fraction form
    42,672/57,048 = 57,048/x
  3. Step 3: Cross multiply
    42,672x = 57,048 × 57,048
  4. Step 4: Simplify right side
    42,672x = 3,254,474,304
  5. Step 5: Solve for x
    x = 3,254,474,304/42,672
  6. Step 6: Final answer
    x = 76,267.21

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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.