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Finding the Third Proportional to 7,149.38 and 15,683.63

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Solution

The third proportional to 7,149.38 and 15,683.63 is: 34,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.38 : 15,683.63 = 15,683.63 : x
  2. Step 2: Convert to fraction form
    7,149.38/15,683.63 = 15,683.63/x
  3. Step 3: Cross multiply
    7,149.38x = 15,683.63 × 15,683.63
  4. Step 4: Simplify right side
    7,149.38x = 245,976,093.14
  5. Step 5: Solve for x
    x = 245,976,093.14/7,149.38
  6. Step 6: Final answer
    x = 34,405.26

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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.