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Finding the Third Proportional to 3,389.34 and 7,565.91

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Solution

The third proportional to 3,389.34 and 7,565.91 is: 16,889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.34 : 7,565.91 = 7,565.91 : x
  2. Step 2: Convert to fraction form
    3,389.34/7,565.91 = 7,565.91/x
  3. Step 3: Cross multiply
    3,389.34x = 7,565.91 × 7,565.91
  4. Step 4: Simplify right side
    3,389.34x = 57,242,937.38
  5. Step 5: Solve for x
    x = 57,242,937.38/3,389.34
  6. Step 6: Final answer
    x = 16,889.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.