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Finding the Third Proportional to 26,261 and 57,624.50

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Solution

The third proportional to 26,261 and 57,624.50 is: 126,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,261 : 57,624.50 = 57,624.50 : x
  2. Step 2: Convert to fraction form
    26,261/57,624.50 = 57,624.50/x
  3. Step 3: Cross multiply
    26,261x = 57,624.50 × 57,624.50
  4. Step 4: Simplify right side
    26,261x = 3,320,583,000.25
  5. Step 5: Solve for x
    x = 3,320,583,000.25/26,261
  6. Step 6: Final answer
    x = 126,445.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.