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Finding the Third Proportional to 5,686.50 and 7,557

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Solution

The third proportional to 5,686.50 and 7,557 is: 10,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.50 : 7,557 = 7,557 : x
  2. Step 2: Convert to fraction form
    5,686.50/7,557 = 7,557/x
  3. Step 3: Cross multiply
    5,686.50x = 7,557 × 7,557
  4. Step 4: Simplify right side
    5,686.50x = 57,108,249
  5. Step 5: Solve for x
    x = 57,108,249/5,686.50
  6. Step 6: Final answer
    x = 10,042.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.