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Finding the Third Proportional to 7,413 and 15,959.38

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Solution

The third proportional to 7,413 and 15,959.38 is: 34,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413 : 15,959.38 = 15,959.38 : x
  2. Step 2: Convert to fraction form
    7,413/15,959.38 = 15,959.38/x
  3. Step 3: Cross multiply
    7,413x = 15,959.38 × 15,959.38
  4. Step 4: Simplify right side
    7,413x = 254,701,650.39
  5. Step 5: Solve for x
    x = 254,701,650.39/7,413
  6. Step 6: Final answer
    x = 34,358.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.