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Finding the Third Proportional to 3,148.13 and 7,352.81

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Solution

The third proportional to 3,148.13 and 7,352.81 is: 17,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.13 : 7,352.81 = 7,352.81 : x
  2. Step 2: Convert to fraction form
    3,148.13/7,352.81 = 7,352.81/x
  3. Step 3: Cross multiply
    3,148.13x = 7,352.81 × 7,352.81
  4. Step 4: Simplify right side
    3,148.13x = 54,063,851.66
  5. Step 5: Solve for x
    x = 54,063,851.66/3,148.13
  6. Step 6: Final answer
    x = 17,173.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.