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Finding the Third Proportional to 3,359.25 and 7,301.53

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Solution

The third proportional to 3,359.25 and 7,301.53 is: 15,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359.25 : 7,301.53 = 7,301.53 : x
  2. Step 2: Convert to fraction form
    3,359.25/7,301.53 = 7,301.53/x
  3. Step 3: Cross multiply
    3,359.25x = 7,301.53 × 7,301.53
  4. Step 4: Simplify right side
    3,359.25x = 53,312,358.59
  5. Step 5: Solve for x
    x = 53,312,358.59/3,359.25
  6. Step 6: Final answer
    x = 15,870.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.