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Finding the Third Proportional to 10,382.34 and 22,840.59

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Solution

The third proportional to 10,382.34 and 22,840.59 is: 50,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.34 : 22,840.59 = 22,840.59 : x
  2. Step 2: Convert to fraction form
    10,382.34/22,840.59 = 22,840.59/x
  3. Step 3: Cross multiply
    10,382.34x = 22,840.59 × 22,840.59
  4. Step 4: Simplify right side
    10,382.34x = 521,692,722.85
  5. Step 5: Solve for x
    x = 521,692,722.85/10,382.34
  6. Step 6: Final answer
    x = 50,248.07

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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.