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Finding the Third Proportional to 4,313.57 and 9,306.77

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Solution

The third proportional to 4,313.57 and 9,306.77 is: 20,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.57 : 9,306.77 = 9,306.77 : x
  2. Step 2: Convert to fraction form
    4,313.57/9,306.77 = 9,306.77/x
  3. Step 3: Cross multiply
    4,313.57x = 9,306.77 × 9,306.77
  4. Step 4: Simplify right side
    4,313.57x = 86,616,031.82
  5. Step 5: Solve for x
    x = 86,616,031.82/4,313.57
  6. Step 6: Final answer
    x = 20,079.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.