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Finding the Third Proportional to 34,242 and 51,130

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Solution

The third proportional to 34,242 and 51,130 is: 76,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,242 : 51,130 = 51,130 : x
  2. Step 2: Convert to fraction form
    34,242/51,130 = 51,130/x
  3. Step 3: Cross multiply
    34,242x = 51,130 × 51,130
  4. Step 4: Simplify right side
    34,242x = 2,614,276,900
  5. Step 5: Solve for x
    x = 2,614,276,900/34,242
  6. Step 6: Final answer
    x = 76,347.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.