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Finding the Third Proportional to 20,428.88 and 31,566.38

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Solution

The third proportional to 20,428.88 and 31,566.38 is: 48,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.88 : 31,566.38 = 31,566.38 : x
  2. Step 2: Convert to fraction form
    20,428.88/31,566.38 = 31,566.38/x
  3. Step 3: Cross multiply
    20,428.88x = 31,566.38 × 31,566.38
  4. Step 4: Simplify right side
    20,428.88x = 996,436,030.64
  5. Step 5: Solve for x
    x = 996,436,030.64/20,428.88
  6. Step 6: Final answer
    x = 48,775.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.