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Finding the Third Proportional to 16,383.50 and 35,101.38

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Solution

The third proportional to 16,383.50 and 35,101.38 is: 75,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.50 : 35,101.38 = 35,101.38 : x
  2. Step 2: Convert to fraction form
    16,383.50/35,101.38 = 35,101.38/x
  3. Step 3: Cross multiply
    16,383.50x = 35,101.38 × 35,101.38
  4. Step 4: Simplify right side
    16,383.50x = 1,232,106,526.89
  5. Step 5: Solve for x
    x = 1,232,106,526.89/16,383.50
  6. Step 6: Final answer
    x = 75,204.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.