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Finding the Third Proportional to 51,829 and 77,727.75

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Solution

The third proportional to 51,829 and 77,727.75 is: 116,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829 : 77,727.75 = 77,727.75 : x
  2. Step 2: Convert to fraction form
    51,829/77,727.75 = 77,727.75/x
  3. Step 3: Cross multiply
    51,829x = 77,727.75 × 77,727.75
  4. Step 4: Simplify right side
    51,829x = 6,041,603,120.06
  5. Step 5: Solve for x
    x = 6,041,603,120.06/51,829
  6. Step 6: Final answer
    x = 116,568.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.