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Finding the Third Proportional to 15,582.25 and 34,279.75

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Solution

The third proportional to 15,582.25 and 34,279.75 is: 75,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.25 : 34,279.75 = 34,279.75 : x
  2. Step 2: Convert to fraction form
    15,582.25/34,279.75 = 34,279.75/x
  3. Step 3: Cross multiply
    15,582.25x = 34,279.75 × 34,279.75
  4. Step 4: Simplify right side
    15,582.25x = 1,175,101,260.06
  5. Step 5: Solve for x
    x = 1,175,101,260.06/15,582.25
  6. Step 6: Final answer
    x = 75,412.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.