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Finding the Third Proportional to 34,790 and 52,345

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Solution

The third proportional to 34,790 and 52,345 is: 78,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,790 : 52,345 = 52,345 : x
  2. Step 2: Convert to fraction form
    34,790/52,345 = 52,345/x
  3. Step 3: Cross multiply
    34,790x = 52,345 × 52,345
  4. Step 4: Simplify right side
    34,790x = 2,739,999,025
  5. Step 5: Solve for x
    x = 2,739,999,025/34,790
  6. Step 6: Final answer
    x = 78,758.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.