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Finding the Third Proportional to 34,348 and 73,877

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Solution

The third proportional to 34,348 and 73,877 is: 158,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,348 : 73,877 = 73,877 : x
  2. Step 2: Convert to fraction form
    34,348/73,877 = 73,877/x
  3. Step 3: Cross multiply
    34,348x = 73,877 × 73,877
  4. Step 4: Simplify right side
    34,348x = 5,457,811,129
  5. Step 5: Solve for x
    x = 5,457,811,129/34,348
  6. Step 6: Final answer
    x = 158,897.49

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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.