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Finding the Third Proportional to 2,854.42 and 4,318.47

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Solution

The third proportional to 2,854.42 and 4,318.47 is: 6,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.42 : 4,318.47 = 4,318.47 : x
  2. Step 2: Convert to fraction form
    2,854.42/4,318.47 = 4,318.47/x
  3. Step 3: Cross multiply
    2,854.42x = 4,318.47 × 4,318.47
  4. Step 4: Simplify right side
    2,854.42x = 18,649,189.21
  5. Step 5: Solve for x
    x = 18,649,189.21/2,854.42
  6. Step 6: Final answer
    x = 6,533.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.