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Finding the Third Proportional to 15,950.25 and 34,451.25

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Solution

The third proportional to 15,950.25 and 34,451.25 is: 74,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,950.25 : 34,451.25 = 34,451.25 : x
  2. Step 2: Convert to fraction form
    15,950.25/34,451.25 = 34,451.25/x
  3. Step 3: Cross multiply
    15,950.25x = 34,451.25 × 34,451.25
  4. Step 4: Simplify right side
    15,950.25x = 1,186,888,626.56
  5. Step 5: Solve for x
    x = 1,186,888,626.56/15,950.25
  6. Step 6: Final answer
    x = 74,411.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.