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Finding the Third Proportional to 32,730 and 67,886

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Solution

The third proportional to 32,730 and 67,886 is: 140,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730 : 67,886 = 67,886 : x
  2. Step 2: Convert to fraction form
    32,730/67,886 = 67,886/x
  3. Step 3: Cross multiply
    32,730x = 67,886 × 67,886
  4. Step 4: Simplify right side
    32,730x = 4,608,508,996
  5. Step 5: Solve for x
    x = 4,608,508,996/32,730
  6. Step 6: Final answer
    x = 140,803.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.