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Finding the Third Proportional to 3,718.69 and 5,113.69

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Solution

The third proportional to 3,718.69 and 5,113.69 is: 7,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.69 : 5,113.69 = 5,113.69 : x
  2. Step 2: Convert to fraction form
    3,718.69/5,113.69 = 5,113.69/x
  3. Step 3: Cross multiply
    3,718.69x = 5,113.69 × 5,113.69
  4. Step 4: Simplify right side
    3,718.69x = 26,149,799.85
  5. Step 5: Solve for x
    x = 26,149,799.85/3,718.69
  6. Step 6: Final answer
    x = 7,032.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.