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Finding the Third Proportional to 36,535 and 49,510.25

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Solution

The third proportional to 36,535 and 49,510.25 is: 67,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,535 : 49,510.25 = 49,510.25 : x
  2. Step 2: Convert to fraction form
    36,535/49,510.25 = 49,510.25/x
  3. Step 3: Cross multiply
    36,535x = 49,510.25 × 49,510.25
  4. Step 4: Simplify right side
    36,535x = 2,451,264,855.06
  5. Step 5: Solve for x
    x = 2,451,264,855.06/36,535
  6. Step 6: Final answer
    x = 67,093.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.