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Finding the Third Proportional to 32,681 and 48,891

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Solution

The third proportional to 32,681 and 48,891 is: 73,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681 : 48,891 = 48,891 : x
  2. Step 2: Convert to fraction form
    32,681/48,891 = 48,891/x
  3. Step 3: Cross multiply
    32,681x = 48,891 × 48,891
  4. Step 4: Simplify right side
    32,681x = 2,390,329,881
  5. Step 5: Solve for x
    x = 2,390,329,881/32,681
  6. Step 6: Final answer
    x = 73,141.27

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Why These Related Problems?

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