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Finding the Third Proportional to 3,403.88 and 3,643.13

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Solution

The third proportional to 3,403.88 and 3,643.13 is: 3,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.88 : 3,643.13 = 3,643.13 : x
  2. Step 2: Convert to fraction form
    3,403.88/3,643.13 = 3,643.13/x
  3. Step 3: Cross multiply
    3,403.88x = 3,643.13 × 3,643.13
  4. Step 4: Simplify right side
    3,403.88x = 13,272,359.77
  5. Step 5: Solve for x
    x = 13,272,359.77/3,403.88
  6. Step 6: Final answer
    x = 3,899.19

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.