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Finding the Third Proportional to 25,966.50 and 57,945

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Solution

The third proportional to 25,966.50 and 57,945 is: 129,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,966.50 : 57,945 = 57,945 : x
  2. Step 2: Convert to fraction form
    25,966.50/57,945 = 57,945/x
  3. Step 3: Cross multiply
    25,966.50x = 57,945 × 57,945
  4. Step 4: Simplify right side
    25,966.50x = 3,357,623,025
  5. Step 5: Solve for x
    x = 3,357,623,025/25,966.50
  6. Step 6: Final answer
    x = 129,305.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.