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Finding the Third Proportional to 8,235 and 17,785.50

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Solution

The third proportional to 8,235 and 17,785.50 is: 38,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 17,785.50 = 17,785.50 : x
  2. Step 2: Convert to fraction form
    8,235/17,785.50 = 17,785.50/x
  3. Step 3: Cross multiply
    8,235x = 17,785.50 × 17,785.50
  4. Step 4: Simplify right side
    8,235x = 316,324,010.25
  5. Step 5: Solve for x
    x = 316,324,010.25/8,235
  6. Step 6: Final answer
    x = 38,412.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.