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Finding the Third Proportional to 5,689.34 and 8,707.22

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Solution

The third proportional to 5,689.34 and 8,707.22 is: 13,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.34 : 8,707.22 = 8,707.22 : x
  2. Step 2: Convert to fraction form
    5,689.34/8,707.22 = 8,707.22/x
  3. Step 3: Cross multiply
    5,689.34x = 8,707.22 × 8,707.22
  4. Step 4: Simplify right side
    5,689.34x = 75,815,658.36
  5. Step 5: Solve for x
    x = 75,815,658.36/5,689.34
  6. Step 6: Final answer
    x = 13,325.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.