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Finding the Third Proportional to 15,719.06 and 34,209.84

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Solution

The third proportional to 15,719.06 and 34,209.84 is: 74,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719.06 : 34,209.84 = 34,209.84 : x
  2. Step 2: Convert to fraction form
    15,719.06/34,209.84 = 34,209.84/x
  3. Step 3: Cross multiply
    15,719.06x = 34,209.84 × 34,209.84
  4. Step 4: Simplify right side
    15,719.06x = 1,170,313,409.40
  5. Step 5: Solve for x
    x = 1,170,313,409.40/15,719.06
  6. Step 6: Final answer
    x = 74,451.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.