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Finding the Third Proportional to 3,468.56 and 7,585.13

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Solution

The third proportional to 3,468.56 and 7,585.13 is: 16,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.56 : 7,585.13 = 7,585.13 : x
  2. Step 2: Convert to fraction form
    3,468.56/7,585.13 = 7,585.13/x
  3. Step 3: Cross multiply
    3,468.56x = 7,585.13 × 7,585.13
  4. Step 4: Simplify right side
    3,468.56x = 57,534,121.27
  5. Step 5: Solve for x
    x = 57,534,121.27/3,468.56
  6. Step 6: Final answer
    x = 16,587.31

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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.