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Finding the Third Proportional to 7,225.69 and 15,761.07

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Solution

The third proportional to 7,225.69 and 15,761.07 is: 34,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.69 : 15,761.07 = 15,761.07 : x
  2. Step 2: Convert to fraction form
    7,225.69/15,761.07 = 15,761.07/x
  3. Step 3: Cross multiply
    7,225.69x = 15,761.07 × 15,761.07
  4. Step 4: Simplify right side
    7,225.69x = 248,411,183.48
  5. Step 5: Solve for x
    x = 248,411,183.48/7,225.69
  6. Step 6: Final answer
    x = 34,378.89

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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.