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Finding the Third Proportional to 3,472.24 and 7,695.08

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Solution

The third proportional to 3,472.24 and 7,695.08 is: 17,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.24 : 7,695.08 = 7,695.08 : x
  2. Step 2: Convert to fraction form
    3,472.24/7,695.08 = 7,695.08/x
  3. Step 3: Cross multiply
    3,472.24x = 7,695.08 × 7,695.08
  4. Step 4: Simplify right side
    3,472.24x = 59,214,242.38
  5. Step 5: Solve for x
    x = 59,214,242.38/3,472.24
  6. Step 6: Final answer
    x = 17,053.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.