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Finding the Third Proportional to 7,291.69 and 15,580.69

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Solution

The third proportional to 7,291.69 and 15,580.69 is: 33,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.69 : 15,580.69 = 15,580.69 : x
  2. Step 2: Convert to fraction form
    7,291.69/15,580.69 = 15,580.69/x
  3. Step 3: Cross multiply
    7,291.69x = 15,580.69 × 15,580.69
  4. Step 4: Simplify right side
    7,291.69x = 242,757,822.97
  5. Step 5: Solve for x
    x = 242,757,822.97/7,291.69
  6. Step 6: Final answer
    x = 33,292.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.