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Finding the Third Proportional to 34,076 and 51,729

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Solution

The third proportional to 34,076 and 51,729 is: 78,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,076 : 51,729 = 51,729 : x
  2. Step 2: Convert to fraction form
    34,076/51,729 = 51,729/x
  3. Step 3: Cross multiply
    34,076x = 51,729 × 51,729
  4. Step 4: Simplify right side
    34,076x = 2,675,889,441
  5. Step 5: Solve for x
    x = 2,675,889,441/34,076
  6. Step 6: Final answer
    x = 78,527.10

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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.