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Finding the Third Proportional to 42,928 and 62,977

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Solution

The third proportional to 42,928 and 62,977 is: 92,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,928 : 62,977 = 62,977 : x
  2. Step 2: Convert to fraction form
    42,928/62,977 = 62,977/x
  3. Step 3: Cross multiply
    42,928x = 62,977 × 62,977
  4. Step 4: Simplify right side
    42,928x = 3,966,102,529
  5. Step 5: Solve for x
    x = 3,966,102,529/42,928
  6. Step 6: Final answer
    x = 92,389.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.