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Finding the Third Proportional to 3,695.50 and 5,528.69

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Solution

The third proportional to 3,695.50 and 5,528.69 is: 8,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.50 : 5,528.69 = 5,528.69 : x
  2. Step 2: Convert to fraction form
    3,695.50/5,528.69 = 5,528.69/x
  3. Step 3: Cross multiply
    3,695.50x = 5,528.69 × 5,528.69
  4. Step 4: Simplify right side
    3,695.50x = 30,566,385.47
  5. Step 5: Solve for x
    x = 30,566,385.47/3,695.50
  6. Step 6: Final answer
    x = 8,271.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.