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Finding the Third Proportional to 16,848.84 and 22,863.09

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Solution

The third proportional to 16,848.84 and 22,863.09 is: 31,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,848.84 : 22,863.09 = 22,863.09 : x
  2. Step 2: Convert to fraction form
    16,848.84/22,863.09 = 22,863.09/x
  3. Step 3: Cross multiply
    16,848.84x = 22,863.09 × 22,863.09
  4. Step 4: Simplify right side
    16,848.84x = 522,721,055.82
  5. Step 5: Solve for x
    x = 522,721,055.82/16,848.84
  6. Step 6: Final answer
    x = 31,024.15

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.