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Finding the Third Proportional to 1,723.78 and 2,585.18

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Solution

The third proportional to 1,723.78 and 2,585.18 is: 3,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.78 : 2,585.18 = 2,585.18 : x
  2. Step 2: Convert to fraction form
    1,723.78/2,585.18 = 2,585.18/x
  3. Step 3: Cross multiply
    1,723.78x = 2,585.18 × 2,585.18
  4. Step 4: Simplify right side
    1,723.78x = 6,683,154.02
  5. Step 5: Solve for x
    x = 6,683,154.02/1,723.78
  6. Step 6: Final answer
    x = 3,877.03

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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.