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Finding the Third Proportional to 34,290 and 52,097

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Solution

The third proportional to 34,290 and 52,097 is: 79,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,290 : 52,097 = 52,097 : x
  2. Step 2: Convert to fraction form
    34,290/52,097 = 52,097/x
  3. Step 3: Cross multiply
    34,290x = 52,097 × 52,097
  4. Step 4: Simplify right side
    34,290x = 2,714,097,409
  5. Step 5: Solve for x
    x = 2,714,097,409/34,290
  6. Step 6: Final answer
    x = 79,151.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.