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Finding the Third Proportional to 12,922.03 and 20,920.78

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Solution

The third proportional to 12,922.03 and 20,920.78 is: 33,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.03 : 20,920.78 = 20,920.78 : x
  2. Step 2: Convert to fraction form
    12,922.03/20,920.78 = 20,920.78/x
  3. Step 3: Cross multiply
    12,922.03x = 20,920.78 × 20,920.78
  4. Step 4: Simplify right side
    12,922.03x = 437,679,088.11
  5. Step 5: Solve for x
    x = 437,679,088.11/12,922.03
  6. Step 6: Final answer
    x = 33,870.77

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.