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Finding the Third Proportional to 42,912 and 56,560

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Solution

The third proportional to 42,912 and 56,560 is: 74,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,912 : 56,560 = 56,560 : x
  2. Step 2: Convert to fraction form
    42,912/56,560 = 56,560/x
  3. Step 3: Cross multiply
    42,912x = 56,560 × 56,560
  4. Step 4: Simplify right side
    42,912x = 3,199,033,600
  5. Step 5: Solve for x
    x = 3,199,033,600/42,912
  6. Step 6: Final answer
    x = 74,548.70

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.