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Finding the Third Proportional to 2,088.28 and 3,403.90

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Solution

The third proportional to 2,088.28 and 3,403.90 is: 5,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.28 : 3,403.90 = 3,403.90 : x
  2. Step 2: Convert to fraction form
    2,088.28/3,403.90 = 3,403.90/x
  3. Step 3: Cross multiply
    2,088.28x = 3,403.90 × 3,403.90
  4. Step 4: Simplify right side
    2,088.28x = 11,586,524.57
  5. Step 5: Solve for x
    x = 11,586,524.57/2,088.28
  6. Step 6: Final answer
    x = 5,548.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.