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Finding the Third Proportional to 8,672.06 and 15,362.16

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Solution

The third proportional to 8,672.06 and 15,362.16 is: 27,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.06 : 15,362.16 = 15,362.16 : x
  2. Step 2: Convert to fraction form
    8,672.06/15,362.16 = 15,362.16/x
  3. Step 3: Cross multiply
    8,672.06x = 15,362.16 × 15,362.16
  4. Step 4: Simplify right side
    8,672.06x = 235,995,844.65
  5. Step 5: Solve for x
    x = 235,995,844.65/8,672.06
  6. Step 6: Final answer
    x = 27,213.35

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.