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Finding the Third Proportional to 34,298 and 51,877

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Solution

The third proportional to 34,298 and 51,877 is: 78,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,298 : 51,877 = 51,877 : x
  2. Step 2: Convert to fraction form
    34,298/51,877 = 51,877/x
  3. Step 3: Cross multiply
    34,298x = 51,877 × 51,877
  4. Step 4: Simplify right side
    34,298x = 2,691,223,129
  5. Step 5: Solve for x
    x = 2,691,223,129/34,298
  6. Step 6: Final answer
    x = 78,465.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.