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Finding the Third Proportional to 16,964.20 and 22,307.83

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Solution

The third proportional to 16,964.20 and 22,307.83 is: 29,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.20 : 22,307.83 = 22,307.83 : x
  2. Step 2: Convert to fraction form
    16,964.20/22,307.83 = 22,307.83/x
  3. Step 3: Cross multiply
    16,964.20x = 22,307.83 × 22,307.83
  4. Step 4: Simplify right side
    16,964.20x = 497,639,152.08
  5. Step 5: Solve for x
    x = 497,639,152.08/16,964.20
  6. Step 6: Final answer
    x = 29,334.67

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.