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Finding the Third Proportional to 34,819.50 and 74,877

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Solution

The third proportional to 34,819.50 and 74,877 is: 161,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,819.50 : 74,877 = 74,877 : x
  2. Step 2: Convert to fraction form
    34,819.50/74,877 = 74,877/x
  3. Step 3: Cross multiply
    34,819.50x = 74,877 × 74,877
  4. Step 4: Simplify right side
    34,819.50x = 5,606,565,129
  5. Step 5: Solve for x
    x = 5,606,565,129/34,819.50
  6. Step 6: Final answer
    x = 161,017.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.