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Finding the Third Proportional to 9,374.91 and 19,279.69

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Solution

The third proportional to 9,374.91 and 19,279.69 is: 39,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.91 : 19,279.69 = 19,279.69 : x
  2. Step 2: Convert to fraction form
    9,374.91/19,279.69 = 19,279.69/x
  3. Step 3: Cross multiply
    9,374.91x = 19,279.69 × 19,279.69
  4. Step 4: Simplify right side
    9,374.91x = 371,706,350.10
  5. Step 5: Solve for x
    x = 371,706,350.10/9,374.91
  6. Step 6: Final answer
    x = 39,649.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.