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Finding the Third Proportional to 24,826.50 and 56,720.25

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Solution

The third proportional to 24,826.50 and 56,720.25 is: 129,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826.50 : 56,720.25 = 56,720.25 : x
  2. Step 2: Convert to fraction form
    24,826.50/56,720.25 = 56,720.25/x
  3. Step 3: Cross multiply
    24,826.50x = 56,720.25 × 56,720.25
  4. Step 4: Simplify right side
    24,826.50x = 3,217,186,760.06
  5. Step 5: Solve for x
    x = 3,217,186,760.06/24,826.50
  6. Step 6: Final answer
    x = 129,586.80

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.