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Finding the Third Proportional to 25,763.50 and 40,983

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Solution

The third proportional to 25,763.50 and 40,983 is: 65,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763.50 : 40,983 = 40,983 : x
  2. Step 2: Convert to fraction form
    25,763.50/40,983 = 40,983/x
  3. Step 3: Cross multiply
    25,763.50x = 40,983 × 40,983
  4. Step 4: Simplify right side
    25,763.50x = 1,679,606,289
  5. Step 5: Solve for x
    x = 1,679,606,289/25,763.50
  6. Step 6: Final answer
    x = 65,193.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.