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Finding the Third Proportional to 4,377.80 and 5,746.57

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Solution

The third proportional to 4,377.80 and 5,746.57 is: 7,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.80 : 5,746.57 = 5,746.57 : x
  2. Step 2: Convert to fraction form
    4,377.80/5,746.57 = 5,746.57/x
  3. Step 3: Cross multiply
    4,377.80x = 5,746.57 × 5,746.57
  4. Step 4: Simplify right side
    4,377.80x = 33,023,070.36
  5. Step 5: Solve for x
    x = 33,023,070.36/4,377.80
  6. Step 6: Final answer
    x = 7,543.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.