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Finding the Third Proportional to 3,569.06 and 3,781.69

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Solution

The third proportional to 3,569.06 and 3,781.69 is: 4,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.06 : 3,781.69 = 3,781.69 : x
  2. Step 2: Convert to fraction form
    3,569.06/3,781.69 = 3,781.69/x
  3. Step 3: Cross multiply
    3,569.06x = 3,781.69 × 3,781.69
  4. Step 4: Simplify right side
    3,569.06x = 14,301,160.35
  5. Step 5: Solve for x
    x = 14,301,160.35/3,569.06
  6. Step 6: Final answer
    x = 4,006.98

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.