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Finding the Third Proportional to 21,816.84 and 31,456.13

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Solution

The third proportional to 21,816.84 and 31,456.13 is: 45,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.84 : 31,456.13 = 31,456.13 : x
  2. Step 2: Convert to fraction form
    21,816.84/31,456.13 = 31,456.13/x
  3. Step 3: Cross multiply
    21,816.84x = 31,456.13 × 31,456.13
  4. Step 4: Simplify right side
    21,816.84x = 989,487,800.02
  5. Step 5: Solve for x
    x = 989,487,800.02/21,816.84
  6. Step 6: Final answer
    x = 45,354.31

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.