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Finding the Third Proportional to 9,925.74 and 21,819.38

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Solution

The third proportional to 9,925.74 and 21,819.38 is: 47,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.74 : 21,819.38 = 21,819.38 : x
  2. Step 2: Convert to fraction form
    9,925.74/21,819.38 = 21,819.38/x
  3. Step 3: Cross multiply
    9,925.74x = 21,819.38 × 21,819.38
  4. Step 4: Simplify right side
    9,925.74x = 476,085,125.39
  5. Step 5: Solve for x
    x = 476,085,125.39/9,925.74
  6. Step 6: Final answer
    x = 47,964.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.