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Finding the Third Proportional to 38,235 and 83,814

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Solution

The third proportional to 38,235 and 83,814 is: 183,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,235 : 83,814 = 83,814 : x
  2. Step 2: Convert to fraction form
    38,235/83,814 = 83,814/x
  3. Step 3: Cross multiply
    38,235x = 83,814 × 83,814
  4. Step 4: Simplify right side
    38,235x = 7,024,786,596
  5. Step 5: Solve for x
    x = 7,024,786,596/38,235
  6. Step 6: Final answer
    x = 183,726.60

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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.