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Finding the Third Proportional to 3,020.75 and 4,774.25

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Solution

The third proportional to 3,020.75 and 4,774.25 is: 7,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.75 : 4,774.25 = 4,774.25 : x
  2. Step 2: Convert to fraction form
    3,020.75/4,774.25 = 4,774.25/x
  3. Step 3: Cross multiply
    3,020.75x = 4,774.25 × 4,774.25
  4. Step 4: Simplify right side
    3,020.75x = 22,793,463.06
  5. Step 5: Solve for x
    x = 22,793,463.06/3,020.75
  6. Step 6: Final answer
    x = 7,545.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.