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Finding the Third Proportional to 1,525.88 and 3,658.13

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Solution

The third proportional to 1,525.88 and 3,658.13 is: 8,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.88 : 3,658.13 = 3,658.13 : x
  2. Step 2: Convert to fraction form
    1,525.88/3,658.13 = 3,658.13/x
  3. Step 3: Cross multiply
    1,525.88x = 3,658.13 × 3,658.13
  4. Step 4: Simplify right side
    1,525.88x = 13,381,878.52
  5. Step 5: Solve for x
    x = 13,381,878.52/1,525.88
  6. Step 6: Final answer
    x = 8,769.97

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.