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Finding the Third Proportional to 7,169.34 and 15,723.70

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Solution

The third proportional to 7,169.34 and 15,723.70 is: 34,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.34 : 15,723.70 = 15,723.70 : x
  2. Step 2: Convert to fraction form
    7,169.34/15,723.70 = 15,723.70/x
  3. Step 3: Cross multiply
    7,169.34x = 15,723.70 × 15,723.70
  4. Step 4: Simplify right side
    7,169.34x = 247,234,839.96
  5. Step 5: Solve for x
    x = 247,234,839.96/7,169.34
  6. Step 6: Final answer
    x = 34,485.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.