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Finding the Third Proportional to 7,929.13 and 17,270.88

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Solution

The third proportional to 7,929.13 and 17,270.88 is: 37,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.13 : 17,270.88 = 17,270.88 : x
  2. Step 2: Convert to fraction form
    7,929.13/17,270.88 = 17,270.88/x
  3. Step 3: Cross multiply
    7,929.13x = 17,270.88 × 17,270.88
  4. Step 4: Simplify right side
    7,929.13x = 298,283,123.27
  5. Step 5: Solve for x
    x = 298,283,123.27/7,929.13
  6. Step 6: Final answer
    x = 37,618.67

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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.