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Finding the Third Proportional to 4,343.34 and 5,898.38

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Solution

The third proportional to 4,343.34 and 5,898.38 is: 8,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.34 : 5,898.38 = 5,898.38 : x
  2. Step 2: Convert to fraction form
    4,343.34/5,898.38 = 5,898.38/x
  3. Step 3: Cross multiply
    4,343.34x = 5,898.38 × 5,898.38
  4. Step 4: Simplify right side
    4,343.34x = 34,790,827.64
  5. Step 5: Solve for x
    x = 34,790,827.64/4,343.34
  6. Step 6: Final answer
    x = 8,010.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.