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Finding the Third Proportional to 2,368.62 and 3,560.84

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Solution

The third proportional to 2,368.62 and 3,560.84 is: 5,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.62 : 3,560.84 = 3,560.84 : x
  2. Step 2: Convert to fraction form
    2,368.62/3,560.84 = 3,560.84/x
  3. Step 3: Cross multiply
    2,368.62x = 3,560.84 × 3,560.84
  4. Step 4: Simplify right side
    2,368.62x = 12,679,552.57
  5. Step 5: Solve for x
    x = 12,679,552.57/2,368.62
  6. Step 6: Final answer
    x = 5,353.15

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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.