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Finding the Third Proportional to 2,878.88 and 4,317.47

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Solution

The third proportional to 2,878.88 and 4,317.47 is: 6,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.88 : 4,317.47 = 4,317.47 : x
  2. Step 2: Convert to fraction form
    2,878.88/4,317.47 = 4,317.47/x
  3. Step 3: Cross multiply
    2,878.88x = 4,317.47 × 4,317.47
  4. Step 4: Simplify right side
    2,878.88x = 18,640,536.41
  5. Step 5: Solve for x
    x = 18,640,536.41/2,878.88
  6. Step 6: Final answer
    x = 6,474.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.