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Finding the Third Proportional to 2,829 and 7,342.50

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Solution

The third proportional to 2,829 and 7,342.50 is: 19,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829 : 7,342.50 = 7,342.50 : x
  2. Step 2: Convert to fraction form
    2,829/7,342.50 = 7,342.50/x
  3. Step 3: Cross multiply
    2,829x = 7,342.50 × 7,342.50
  4. Step 4: Simplify right side
    2,829x = 53,912,306.25
  5. Step 5: Solve for x
    x = 53,912,306.25/2,829
  6. Step 6: Final answer
    x = 19,057.02

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.