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Finding the Third Proportional to 41.47 and 61.00

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Solution

The third proportional to 41.47 and 61.00 is: 89.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.47 : 61.00 = 61.00 : x
  2. Step 2: Convert to fraction form
    41.47/61.00 = 61.00/x
  3. Step 3: Cross multiply
    41.47x = 61.00 × 61.00
  4. Step 4: Simplify right side
    41.47x = 3,720.52
  5. Step 5: Solve for x
    x = 3,720.52/41.47
  6. Step 6: Final answer
    x = 89.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.