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Finding the Third Proportional to 5,248.50 and 7,341

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Solution

The third proportional to 5,248.50 and 7,341 is: 10,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.50 : 7,341 = 7,341 : x
  2. Step 2: Convert to fraction form
    5,248.50/7,341 = 7,341/x
  3. Step 3: Cross multiply
    5,248.50x = 7,341 × 7,341
  4. Step 4: Simplify right side
    5,248.50x = 53,890,281
  5. Step 5: Solve for x
    x = 53,890,281/5,248.50
  6. Step 6: Final answer
    x = 10,267.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.