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Finding the Third Proportional to 12,082.50 and 26,240.25

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Solution

The third proportional to 12,082.50 and 26,240.25 is: 56,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.50 : 26,240.25 = 26,240.25 : x
  2. Step 2: Convert to fraction form
    12,082.50/26,240.25 = 26,240.25/x
  3. Step 3: Cross multiply
    12,082.50x = 26,240.25 × 26,240.25
  4. Step 4: Simplify right side
    12,082.50x = 688,550,720.06
  5. Step 5: Solve for x
    x = 688,550,720.06/12,082.50
  6. Step 6: Final answer
    x = 56,987.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.