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Finding the Third Proportional to 2,565 and 3,972.38

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Solution

The third proportional to 2,565 and 3,972.38 is: 6,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565 : 3,972.38 = 3,972.38 : x
  2. Step 2: Convert to fraction form
    2,565/3,972.38 = 3,972.38/x
  3. Step 3: Cross multiply
    2,565x = 3,972.38 × 3,972.38
  4. Step 4: Simplify right side
    2,565x = 15,779,763.14
  5. Step 5: Solve for x
    x = 15,779,763.14/2,565
  6. Step 6: Final answer
    x = 6,151.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.