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Finding the Third Proportional to 1,649 and 2,534.50

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Solution

The third proportional to 1,649 and 2,534.50 is: 3,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649 : 2,534.50 = 2,534.50 : x
  2. Step 2: Convert to fraction form
    1,649/2,534.50 = 2,534.50/x
  3. Step 3: Cross multiply
    1,649x = 2,534.50 × 2,534.50
  4. Step 4: Simplify right side
    1,649x = 6,423,690.25
  5. Step 5: Solve for x
    x = 6,423,690.25/1,649
  6. Step 6: Final answer
    x = 3,895.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.