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Finding the Third Proportional to 21,854.81 and 47,601.42

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Solution

The third proportional to 21,854.81 and 47,601.42 is: 103,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.81 : 47,601.42 = 47,601.42 : x
  2. Step 2: Convert to fraction form
    21,854.81/47,601.42 = 47,601.42/x
  3. Step 3: Cross multiply
    21,854.81x = 47,601.42 × 47,601.42
  4. Step 4: Simplify right side
    21,854.81x = 2,265,895,364.52
  5. Step 5: Solve for x
    x = 2,265,895,364.52/21,854.81
  6. Step 6: Final answer
    x = 103,679.47

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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.