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Finding the Third Proportional to 56.47 and 84.72

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Solution

The third proportional to 56.47 and 84.72 is: 127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.47 : 84.72 = 84.72 : x
  2. Step 2: Convert to fraction form
    56.47/84.72 = 84.72/x
  3. Step 3: Cross multiply
    56.47x = 84.72 × 84.72
  4. Step 4: Simplify right side
    56.47x = 7,177.27
  5. Step 5: Solve for x
    x = 7,177.27/56.47
  6. Step 6: Final answer
    x = 127.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.