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Finding the Third Proportional to 17,712 and 25,977

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Solution

The third proportional to 17,712 and 25,977 is: 38,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 25,977 = 25,977 : x
  2. Step 2: Convert to fraction form
    17,712/25,977 = 25,977/x
  3. Step 3: Cross multiply
    17,712x = 25,977 × 25,977
  4. Step 4: Simplify right side
    17,712x = 674,804,529
  5. Step 5: Solve for x
    x = 674,804,529/17,712
  6. Step 6: Final answer
    x = 38,098.72

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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.