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Finding the Third Proportional to 47,074 and 64,555

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Solution

The third proportional to 47,074 and 64,555 is: 88,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,074 : 64,555 = 64,555 : x
  2. Step 2: Convert to fraction form
    47,074/64,555 = 64,555/x
  3. Step 3: Cross multiply
    47,074x = 64,555 × 64,555
  4. Step 4: Simplify right side
    47,074x = 4,167,348,025
  5. Step 5: Solve for x
    x = 4,167,348,025/47,074
  6. Step 6: Final answer
    x = 88,527.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.