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Finding the Third Proportional to 34,731 and 51,867.56

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Solution

The third proportional to 34,731 and 51,867.56 is: 77,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,731 : 51,867.56 = 51,867.56 : x
  2. Step 2: Convert to fraction form
    34,731/51,867.56 = 51,867.56/x
  3. Step 3: Cross multiply
    34,731x = 51,867.56 × 51,867.56
  4. Step 4: Simplify right side
    34,731x = 2,690,244,039.69
  5. Step 5: Solve for x
    x = 2,690,244,039.69/34,731
  6. Step 6: Final answer
    x = 77,459.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.