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Finding the Third Proportional to 34,354.13 and 53,252.44

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Solution

The third proportional to 34,354.13 and 53,252.44 is: 82,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,354.13 : 53,252.44 = 53,252.44 : x
  2. Step 2: Convert to fraction form
    34,354.13/53,252.44 = 53,252.44/x
  3. Step 3: Cross multiply
    34,354.13x = 53,252.44 × 53,252.44
  4. Step 4: Simplify right side
    34,354.13x = 2,835,822,099.69
  5. Step 5: Solve for x
    x = 2,835,822,099.69/34,354.13
  6. Step 6: Final answer
    x = 82,546.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.