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Finding the Third Proportional to 7,017.57 and 15,332.73

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Solution

The third proportional to 7,017.57 and 15,332.73 is: 33,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.57 : 15,332.73 = 15,332.73 : x
  2. Step 2: Convert to fraction form
    7,017.57/15,332.73 = 15,332.73/x
  3. Step 3: Cross multiply
    7,017.57x = 15,332.73 × 15,332.73
  4. Step 4: Simplify right side
    7,017.57x = 235,092,623.63
  5. Step 5: Solve for x
    x = 235,092,623.63/7,017.57
  6. Step 6: Final answer
    x = 33,500.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.