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Finding the Third Proportional to 25,692 and 41,076

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Solution

The third proportional to 25,692 and 41,076 is: 65,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692 : 41,076 = 41,076 : x
  2. Step 2: Convert to fraction form
    25,692/41,076 = 41,076/x
  3. Step 3: Cross multiply
    25,692x = 41,076 × 41,076
  4. Step 4: Simplify right side
    25,692x = 1,687,237,776
  5. Step 5: Solve for x
    x = 1,687,237,776/25,692
  6. Step 6: Final answer
    x = 65,671.72

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.