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Finding the Third Proportional to 2,689.45 and 3,631.08

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Solution

The third proportional to 2,689.45 and 3,631.08 is: 4,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.45 : 3,631.08 = 3,631.08 : x
  2. Step 2: Convert to fraction form
    2,689.45/3,631.08 = 3,631.08/x
  3. Step 3: Cross multiply
    2,689.45x = 3,631.08 × 3,631.08
  4. Step 4: Simplify right side
    2,689.45x = 13,184,728.35
  5. Step 5: Solve for x
    x = 13,184,728.35/2,689.45
  6. Step 6: Final answer
    x = 4,902.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.