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Finding the Third Proportional to 48,295 and 73,877

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Solution

The third proportional to 48,295 and 73,877 is: 113,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,295 : 73,877 = 73,877 : x
  2. Step 2: Convert to fraction form
    48,295/73,877 = 73,877/x
  3. Step 3: Cross multiply
    48,295x = 73,877 × 73,877
  4. Step 4: Simplify right side
    48,295x = 5,457,811,129
  5. Step 5: Solve for x
    x = 5,457,811,129/48,295
  6. Step 6: Final answer
    x = 113,009.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.