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Finding the Third Proportional to 48,834 and 73,791

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Solution

The third proportional to 48,834 and 73,791 is: 111,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,834 : 73,791 = 73,791 : x
  2. Step 2: Convert to fraction form
    48,834/73,791 = 73,791/x
  3. Step 3: Cross multiply
    48,834x = 73,791 × 73,791
  4. Step 4: Simplify right side
    48,834x = 5,445,111,681
  5. Step 5: Solve for x
    x = 5,445,111,681/48,834
  6. Step 6: Final answer
    x = 111,502.47

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