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Finding the Third Proportional to 28,043 and 59,977

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Solution

The third proportional to 28,043 and 59,977 is: 128,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,043 : 59,977 = 59,977 : x
  2. Step 2: Convert to fraction form
    28,043/59,977 = 59,977/x
  3. Step 3: Cross multiply
    28,043x = 59,977 × 59,977
  4. Step 4: Simplify right side
    28,043x = 3,597,240,529
  5. Step 5: Solve for x
    x = 3,597,240,529/28,043
  6. Step 6: Final answer
    x = 128,275.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.