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Finding the Third Proportional to 2,565.74 and 3,669.21

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Solution

The third proportional to 2,565.74 and 3,669.21 is: 5,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.74 : 3,669.21 = 3,669.21 : x
  2. Step 2: Convert to fraction form
    2,565.74/3,669.21 = 3,669.21/x
  3. Step 3: Cross multiply
    2,565.74x = 3,669.21 × 3,669.21
  4. Step 4: Simplify right side
    2,565.74x = 13,463,065.91
  5. Step 5: Solve for x
    x = 13,463,065.91/2,565.74
  6. Step 6: Final answer
    x = 5,247.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.