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Finding the Third Proportional to 10,932.89 and 22,643.72

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Solution

The third proportional to 10,932.89 and 22,643.72 is: 46,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.89 : 22,643.72 = 22,643.72 : x
  2. Step 2: Convert to fraction form
    10,932.89/22,643.72 = 22,643.72/x
  3. Step 3: Cross multiply
    10,932.89x = 22,643.72 × 22,643.72
  4. Step 4: Simplify right side
    10,932.89x = 512,737,998.83
  5. Step 5: Solve for x
    x = 512,737,998.83/10,932.89
  6. Step 6: Final answer
    x = 46,898.67

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.