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Finding the Third Proportional to 57,966 and 77,643

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Solution

The third proportional to 57,966 and 77,643 is: 103,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,966 : 77,643 = 77,643 : x
  2. Step 2: Convert to fraction form
    57,966/77,643 = 77,643/x
  3. Step 3: Cross multiply
    57,966x = 77,643 × 77,643
  4. Step 4: Simplify right side
    57,966x = 6,028,435,449
  5. Step 5: Solve for x
    x = 6,028,435,449/57,966
  6. Step 6: Final answer
    x = 103,999.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.