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Finding the Third Proportional to 3,510 and 5,434.59

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Solution

The third proportional to 3,510 and 5,434.59 is: 8,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510 : 5,434.59 = 5,434.59 : x
  2. Step 2: Convert to fraction form
    3,510/5,434.59 = 5,434.59/x
  3. Step 3: Cross multiply
    3,510x = 5,434.59 × 5,434.59
  4. Step 4: Simplify right side
    3,510x = 29,534,809.23
  5. Step 5: Solve for x
    x = 29,534,809.23/3,510
  6. Step 6: Final answer
    x = 8,414.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.