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Finding the Third Proportional to 7,012.50 and 15,341

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Solution

The third proportional to 7,012.50 and 15,341 is: 33,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.50 : 15,341 = 15,341 : x
  2. Step 2: Convert to fraction form
    7,012.50/15,341 = 15,341/x
  3. Step 3: Cross multiply
    7,012.50x = 15,341 × 15,341
  4. Step 4: Simplify right side
    7,012.50x = 235,346,281
  5. Step 5: Solve for x
    x = 235,346,281/7,012.50
  6. Step 6: Final answer
    x = 33,560.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.