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Finding the Third Proportional to 3,521.81 and 5,117.34

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Solution

The third proportional to 3,521.81 and 5,117.34 is: 7,435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.81 : 5,117.34 = 5,117.34 : x
  2. Step 2: Convert to fraction form
    3,521.81/5,117.34 = 5,117.34/x
  3. Step 3: Cross multiply
    3,521.81x = 5,117.34 × 5,117.34
  4. Step 4: Simplify right side
    3,521.81x = 26,187,207.06
  5. Step 5: Solve for x
    x = 26,187,207.06/3,521.81
  6. Step 6: Final answer
    x = 7,435.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.