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Finding the Third Proportional to 7,584 and 12,050

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Solution

The third proportional to 7,584 and 12,050 is: 19,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584 : 12,050 = 12,050 : x
  2. Step 2: Convert to fraction form
    7,584/12,050 = 12,050/x
  3. Step 3: Cross multiply
    7,584x = 12,050 × 12,050
  4. Step 4: Simplify right side
    7,584x = 145,202,500
  5. Step 5: Solve for x
    x = 145,202,500/7,584
  6. Step 6: Final answer
    x = 19,145.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.