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Finding the Third Proportional to 16,033 and 35,084

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Solution

The third proportional to 16,033 and 35,084 is: 76,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033 : 35,084 = 35,084 : x
  2. Step 2: Convert to fraction form
    16,033/35,084 = 35,084/x
  3. Step 3: Cross multiply
    16,033x = 35,084 × 35,084
  4. Step 4: Simplify right side
    16,033x = 1,230,887,056
  5. Step 5: Solve for x
    x = 1,230,887,056/16,033
  6. Step 6: Final answer
    x = 76,772.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.