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Finding the Third Proportional to 15,809.06 and 34,965.84

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Solution

The third proportional to 15,809.06 and 34,965.84 is: 77,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.06 : 34,965.84 = 34,965.84 : x
  2. Step 2: Convert to fraction form
    15,809.06/34,965.84 = 34,965.84/x
  3. Step 3: Cross multiply
    15,809.06x = 34,965.84 × 34,965.84
  4. Step 4: Simplify right side
    15,809.06x = 1,222,610,229.15
  5. Step 5: Solve for x
    x = 1,222,610,229.15/15,809.06
  6. Step 6: Final answer
    x = 77,336.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.