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Finding the Third Proportional to 11,421.95 and 24,945.47

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Solution

The third proportional to 11,421.95 and 24,945.47 is: 54,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.95 : 24,945.47 = 24,945.47 : x
  2. Step 2: Convert to fraction form
    11,421.95/24,945.47 = 24,945.47/x
  3. Step 3: Cross multiply
    11,421.95x = 24,945.47 × 24,945.47
  4. Step 4: Simplify right side
    11,421.95x = 622,276,411.16
  5. Step 5: Solve for x
    x = 622,276,411.16/11,421.95
  6. Step 6: Final answer
    x = 54,480.75

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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.