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Finding the Third Proportional to 2,317.36 and 3,565.90

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Solution

The third proportional to 2,317.36 and 3,565.90 is: 5,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.36 : 3,565.90 = 3,565.90 : x
  2. Step 2: Convert to fraction form
    2,317.36/3,565.90 = 3,565.90/x
  3. Step 3: Cross multiply
    2,317.36x = 3,565.90 × 3,565.90
  4. Step 4: Simplify right side
    2,317.36x = 12,715,631.67
  5. Step 5: Solve for x
    x = 12,715,631.67/2,317.36
  6. Step 6: Final answer
    x = 5,487.12

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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.