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Finding the Third Proportional to 9,424.48 and 19,624.15

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Solution

The third proportional to 9,424.48 and 19,624.15 is: 40,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.48 : 19,624.15 = 19,624.15 : x
  2. Step 2: Convert to fraction form
    9,424.48/19,624.15 = 19,624.15/x
  3. Step 3: Cross multiply
    9,424.48x = 19,624.15 × 19,624.15
  4. Step 4: Simplify right side
    9,424.48x = 385,107,201.90
  5. Step 5: Solve for x
    x = 385,107,201.90/9,424.48
  6. Step 6: Final answer
    x = 40,862.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.