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Finding the Third Proportional to 10,425.38 and 22,764.38

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Solution

The third proportional to 10,425.38 and 22,764.38 is: 49,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.38 : 22,764.38 = 22,764.38 : x
  2. Step 2: Convert to fraction form
    10,425.38/22,764.38 = 22,764.38/x
  3. Step 3: Cross multiply
    10,425.38x = 22,764.38 × 22,764.38
  4. Step 4: Simplify right side
    10,425.38x = 518,216,769.14
  5. Step 5: Solve for x
    x = 518,216,769.14/10,425.38
  6. Step 6: Final answer
    x = 49,707.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.