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Finding the Third Proportional to 22,209.19 and 31,240.69

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Solution

The third proportional to 22,209.19 and 31,240.69 is: 43,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.19 : 31,240.69 = 31,240.69 : x
  2. Step 2: Convert to fraction form
    22,209.19/31,240.69 = 31,240.69/x
  3. Step 3: Cross multiply
    22,209.19x = 31,240.69 × 31,240.69
  4. Step 4: Simplify right side
    22,209.19x = 975,980,555.47
  5. Step 5: Solve for x
    x = 975,980,555.47/22,209.19
  6. Step 6: Final answer
    x = 43,944.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.