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Finding the Third Proportional to 7,227.35 and 15,838.66

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Solution

The third proportional to 7,227.35 and 15,838.66 is: 34,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.35 : 15,838.66 = 15,838.66 : x
  2. Step 2: Convert to fraction form
    7,227.35/15,838.66 = 15,838.66/x
  3. Step 3: Cross multiply
    7,227.35x = 15,838.66 × 15,838.66
  4. Step 4: Simplify right side
    7,227.35x = 250,863,279.28
  5. Step 5: Solve for x
    x = 250,863,279.28/7,227.35
  6. Step 6: Final answer
    x = 34,710.26

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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.