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Finding the Third Proportional to 2,854.69 and 6,242.63

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Solution

The third proportional to 2,854.69 and 6,242.63 is: 13,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.69 : 6,242.63 = 6,242.63 : x
  2. Step 2: Convert to fraction form
    2,854.69/6,242.63 = 6,242.63/x
  3. Step 3: Cross multiply
    2,854.69x = 6,242.63 × 6,242.63
  4. Step 4: Simplify right side
    2,854.69x = 38,970,366.89
  5. Step 5: Solve for x
    x = 38,970,366.89/2,854.69
  6. Step 6: Final answer
    x = 13,651.36

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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.