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Finding the Third Proportional to 4,779 and 7,381.75

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Solution

The third proportional to 4,779 and 7,381.75 is: 11,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779 : 7,381.75 = 7,381.75 : x
  2. Step 2: Convert to fraction form
    4,779/7,381.75 = 7,381.75/x
  3. Step 3: Cross multiply
    4,779x = 7,381.75 × 7,381.75
  4. Step 4: Simplify right side
    4,779x = 54,490,233.06
  5. Step 5: Solve for x
    x = 54,490,233.06/4,779
  6. Step 6: Final answer
    x = 11,402.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.