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Finding the Third Proportional to 56,391.75 and 74,538

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Solution

The third proportional to 56,391.75 and 74,538 is: 98,523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,391.75 : 74,538 = 74,538 : x
  2. Step 2: Convert to fraction form
    56,391.75/74,538 = 74,538/x
  3. Step 3: Cross multiply
    56,391.75x = 74,538 × 74,538
  4. Step 4: Simplify right side
    56,391.75x = 5,555,913,444
  5. Step 5: Solve for x
    x = 5,555,913,444/56,391.75
  6. Step 6: Final answer
    x = 98,523.52

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Why These Related Problems?

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