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Finding the Third Proportional to 22,769.86 and 24,455.67

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Solution

The third proportional to 22,769.86 and 24,455.67 is: 26,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.86 : 24,455.67 = 24,455.67 : x
  2. Step 2: Convert to fraction form
    22,769.86/24,455.67 = 24,455.67/x
  3. Step 3: Cross multiply
    22,769.86x = 24,455.67 × 24,455.67
  4. Step 4: Simplify right side
    22,769.86x = 598,079,886.86
  5. Step 5: Solve for x
    x = 598,079,886.86/22,769.86
  6. Step 6: Final answer
    x = 26,266.30

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.