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Finding the Third Proportional to 37,265 and 54,709

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Solution

The third proportional to 37,265 and 54,709 is: 80,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,265 : 54,709 = 54,709 : x
  2. Step 2: Convert to fraction form
    37,265/54,709 = 54,709/x
  3. Step 3: Cross multiply
    37,265x = 54,709 × 54,709
  4. Step 4: Simplify right side
    37,265x = 2,993,074,681
  5. Step 5: Solve for x
    x = 2,993,074,681/37,265
  6. Step 6: Final answer
    x = 80,318.66

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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.