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Finding the Third Proportional to 14,103 and 33,018.75

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Solution

The third proportional to 14,103 and 33,018.75 is: 77,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103 : 33,018.75 = 33,018.75 : x
  2. Step 2: Convert to fraction form
    14,103/33,018.75 = 33,018.75/x
  3. Step 3: Cross multiply
    14,103x = 33,018.75 × 33,018.75
  4. Step 4: Simplify right side
    14,103x = 1,090,237,851.56
  5. Step 5: Solve for x
    x = 1,090,237,851.56/14,103
  6. Step 6: Final answer
    x = 77,305.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.