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Finding the Third Proportional to 52,035 and 77,476

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Solution

The third proportional to 52,035 and 77,476 is: 115,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035 : 77,476 = 77,476 : x
  2. Step 2: Convert to fraction form
    52,035/77,476 = 77,476/x
  3. Step 3: Cross multiply
    52,035x = 77,476 × 77,476
  4. Step 4: Simplify right side
    52,035x = 6,002,530,576
  5. Step 5: Solve for x
    x = 6,002,530,576/52,035
  6. Step 6: Final answer
    x = 115,355.64

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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.