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Finding the Third Proportional to 2,945.53 and 6,342.47

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Solution

The third proportional to 2,945.53 and 6,342.47 is: 13,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.53 : 6,342.47 = 6,342.47 : x
  2. Step 2: Convert to fraction form
    2,945.53/6,342.47 = 6,342.47/x
  3. Step 3: Cross multiply
    2,945.53x = 6,342.47 × 6,342.47
  4. Step 4: Simplify right side
    2,945.53x = 40,226,909.84
  5. Step 5: Solve for x
    x = 40,226,909.84/2,945.53
  6. Step 6: Final answer
    x = 13,656.93

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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.