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Finding the Third Proportional to 4,248.70 and 9,109.65

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Solution

The third proportional to 4,248.70 and 9,109.65 is: 19,532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248.70 : 9,109.65 = 9,109.65 : x
  2. Step 2: Convert to fraction form
    4,248.70/9,109.65 = 9,109.65/x
  3. Step 3: Cross multiply
    4,248.70x = 9,109.65 × 9,109.65
  4. Step 4: Simplify right side
    4,248.70x = 82,985,765.82
  5. Step 5: Solve for x
    x = 82,985,765.82/4,248.70
  6. Step 6: Final answer
    x = 19,532.02

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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.