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Finding the Third Proportional to 5,178.75 and 6,994.13

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Solution

The third proportional to 5,178.75 and 6,994.13 is: 9,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.75 : 6,994.13 = 6,994.13 : x
  2. Step 2: Convert to fraction form
    5,178.75/6,994.13 = 6,994.13/x
  3. Step 3: Cross multiply
    5,178.75x = 6,994.13 × 6,994.13
  4. Step 4: Simplify right side
    5,178.75x = 48,917,784.52
  5. Step 5: Solve for x
    x = 48,917,784.52/5,178.75
  6. Step 6: Final answer
    x = 9,445.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.