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Finding the Third Proportional to 3,574.13 and 7,677.28

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Solution

The third proportional to 3,574.13 and 7,677.28 is: 16,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.13 : 7,677.28 = 7,677.28 : x
  2. Step 2: Convert to fraction form
    3,574.13/7,677.28 = 7,677.28/x
  3. Step 3: Cross multiply
    3,574.13x = 7,677.28 × 7,677.28
  4. Step 4: Simplify right side
    3,574.13x = 58,940,647.39
  5. Step 5: Solve for x
    x = 58,940,647.39/3,574.13
  6. Step 6: Final answer
    x = 16,490.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.