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Finding the Third Proportional to 49,875 and 74,643

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Solution

The third proportional to 49,875 and 74,643 is: 111,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,875 : 74,643 = 74,643 : x
  2. Step 2: Convert to fraction form
    49,875/74,643 = 74,643/x
  3. Step 3: Cross multiply
    49,875x = 74,643 × 74,643
  4. Step 4: Simplify right side
    49,875x = 5,571,577,449
  5. Step 5: Solve for x
    x = 5,571,577,449/49,875
  6. Step 6: Final answer
    x = 111,710.83

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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.