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Finding the Third Proportional to 16,012.97 and 22,810.78

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Solution

The third proportional to 16,012.97 and 22,810.78 is: 32,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.97 : 22,810.78 = 22,810.78 : x
  2. Step 2: Convert to fraction form
    16,012.97/22,810.78 = 22,810.78/x
  3. Step 3: Cross multiply
    16,012.97x = 22,810.78 × 22,810.78
  4. Step 4: Simplify right side
    16,012.97x = 520,331,741.24
  5. Step 5: Solve for x
    x = 520,331,741.24/16,012.97
  6. Step 6: Final answer
    x = 32,494.40

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.