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Finding the Third Proportional to 4,065 and 6,142.50

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Solution

The third proportional to 4,065 and 6,142.50 is: 9,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065 : 6,142.50 = 6,142.50 : x
  2. Step 2: Convert to fraction form
    4,065/6,142.50 = 6,142.50/x
  3. Step 3: Cross multiply
    4,065x = 6,142.50 × 6,142.50
  4. Step 4: Simplify right side
    4,065x = 37,730,306.25
  5. Step 5: Solve for x
    x = 37,730,306.25/4,065
  6. Step 6: Final answer
    x = 9,281.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.