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Finding the Third Proportional to 16,135.35 and 34,951.29

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Solution

The third proportional to 16,135.35 and 34,951.29 is: 75,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.35 : 34,951.29 = 34,951.29 : x
  2. Step 2: Convert to fraction form
    16,135.35/34,951.29 = 34,951.29/x
  3. Step 3: Cross multiply
    16,135.35x = 34,951.29 × 34,951.29
  4. Step 4: Simplify right side
    16,135.35x = 1,221,592,607.13
  5. Step 5: Solve for x
    x = 1,221,592,607.13/16,135.35
  6. Step 6: Final answer
    x = 75,709.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.