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Finding the Third Proportional to 49,320 and 75,636

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Solution

The third proportional to 49,320 and 75,636 is: 115,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,320 : 75,636 = 75,636 : x
  2. Step 2: Convert to fraction form
    49,320/75,636 = 75,636/x
  3. Step 3: Cross multiply
    49,320x = 75,636 × 75,636
  4. Step 4: Simplify right side
    49,320x = 5,720,804,496
  5. Step 5: Solve for x
    x = 5,720,804,496/49,320
  6. Step 6: Final answer
    x = 115,993.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.