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Finding the Third Proportional to 16,384.78 and 23,938.03

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Solution

The third proportional to 16,384.78 and 23,938.03 is: 34,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.78 : 23,938.03 = 23,938.03 : x
  2. Step 2: Convert to fraction form
    16,384.78/23,938.03 = 23,938.03/x
  3. Step 3: Cross multiply
    16,384.78x = 23,938.03 × 23,938.03
  4. Step 4: Simplify right side
    16,384.78x = 573,029,340.13
  5. Step 5: Solve for x
    x = 573,029,340.13/16,384.78
  6. Step 6: Final answer
    x = 34,973.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.