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Finding the Third Proportional to 33,018 and 58,339.50

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Solution

The third proportional to 33,018 and 58,339.50 is: 103,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,018 : 58,339.50 = 58,339.50 : x
  2. Step 2: Convert to fraction form
    33,018/58,339.50 = 58,339.50/x
  3. Step 3: Cross multiply
    33,018x = 58,339.50 × 58,339.50
  4. Step 4: Simplify right side
    33,018x = 3,403,497,260.25
  5. Step 5: Solve for x
    x = 3,403,497,260.25/33,018
  6. Step 6: Final answer
    x = 103,080.06

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.