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Finding the Third Proportional to 26,773.50 and 58,315.50

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Solution

The third proportional to 26,773.50 and 58,315.50 is: 127,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,773.50 : 58,315.50 = 58,315.50 : x
  2. Step 2: Convert to fraction form
    26,773.50/58,315.50 = 58,315.50/x
  3. Step 3: Cross multiply
    26,773.50x = 58,315.50 × 58,315.50
  4. Step 4: Simplify right side
    26,773.50x = 3,400,697,540.25
  5. Step 5: Solve for x
    x = 3,400,697,540.25/26,773.50
  6. Step 6: Final answer
    x = 127,017.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.