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Finding the Third Proportional to 52,963.50 and 77,823

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Solution

The third proportional to 52,963.50 and 77,823 is: 114,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,963.50 : 77,823 = 77,823 : x
  2. Step 2: Convert to fraction form
    52,963.50/77,823 = 77,823/x
  3. Step 3: Cross multiply
    52,963.50x = 77,823 × 77,823
  4. Step 4: Simplify right side
    52,963.50x = 6,056,419,329
  5. Step 5: Solve for x
    x = 6,056,419,329/52,963.50
  6. Step 6: Final answer
    x = 114,350.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.