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Finding the Third Proportional to 7,719.19 and 15,711.19

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Solution

The third proportional to 7,719.19 and 15,711.19 is: 31,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.19 : 15,711.19 = 15,711.19 : x
  2. Step 2: Convert to fraction form
    7,719.19/15,711.19 = 15,711.19/x
  3. Step 3: Cross multiply
    7,719.19x = 15,711.19 × 15,711.19
  4. Step 4: Simplify right side
    7,719.19x = 246,841,412.66
  5. Step 5: Solve for x
    x = 246,841,412.66/7,719.19
  6. Step 6: Final answer
    x = 31,977.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.