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Finding the Third Proportional to 24,296.20 and 31,045.15

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Solution

The third proportional to 24,296.20 and 31,045.15 is: 39,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.20 : 31,045.15 = 31,045.15 : x
  2. Step 2: Convert to fraction form
    24,296.20/31,045.15 = 31,045.15/x
  3. Step 3: Cross multiply
    24,296.20x = 31,045.15 × 31,045.15
  4. Step 4: Simplify right side
    24,296.20x = 963,801,241.51
  5. Step 5: Solve for x
    x = 963,801,241.51/24,296.20
  6. Step 6: Final answer
    x = 39,668.80

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.