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Finding the Third Proportional to 21,816.42 and 46,972.41

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Solution

The third proportional to 21,816.42 and 46,972.41 is: 101,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.42 : 46,972.41 = 46,972.41 : x
  2. Step 2: Convert to fraction form
    21,816.42/46,972.41 = 46,972.41/x
  3. Step 3: Cross multiply
    21,816.42x = 46,972.41 × 46,972.41
  4. Step 4: Simplify right side
    21,816.42x = 2,206,406,948.92
  5. Step 5: Solve for x
    x = 2,206,406,948.92/21,816.42
  6. Step 6: Final answer
    x = 101,135.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.