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Finding the Third Proportional to 32,877 and 70,681

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Solution

The third proportional to 32,877 and 70,681 is: 151,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877 : 70,681 = 70,681 : x
  2. Step 2: Convert to fraction form
    32,877/70,681 = 70,681/x
  3. Step 3: Cross multiply
    32,877x = 70,681 × 70,681
  4. Step 4: Simplify right side
    32,877x = 4,995,803,761
  5. Step 5: Solve for x
    x = 4,995,803,761/32,877
  6. Step 6: Final answer
    x = 151,954.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.