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Finding the Third Proportional to 32,101.50 and 69,279

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Solution

The third proportional to 32,101.50 and 69,279 is: 149,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.50 : 69,279 = 69,279 : x
  2. Step 2: Convert to fraction form
    32,101.50/69,279 = 69,279/x
  3. Step 3: Cross multiply
    32,101.50x = 69,279 × 69,279
  4. Step 4: Simplify right side
    32,101.50x = 4,799,579,841
  5. Step 5: Solve for x
    x = 4,799,579,841/32,101.50
  6. Step 6: Final answer
    x = 149,512.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.