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Finding the Third Proportional to 15,780.66 and 34,530.47

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Solution

The third proportional to 15,780.66 and 34,530.47 is: 75,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.66 : 34,530.47 = 34,530.47 : x
  2. Step 2: Convert to fraction form
    15,780.66/34,530.47 = 34,530.47/x
  3. Step 3: Cross multiply
    15,780.66x = 34,530.47 × 34,530.47
  4. Step 4: Simplify right side
    15,780.66x = 1,192,353,272.09
  5. Step 5: Solve for x
    x = 1,192,353,272.09/15,780.66
  6. Step 6: Final answer
    x = 75,557.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.