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Finding the Third Proportional to 30,856 and 66,085

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Solution

The third proportional to 30,856 and 66,085 is: 141,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856 : 66,085 = 66,085 : x
  2. Step 2: Convert to fraction form
    30,856/66,085 = 66,085/x
  3. Step 3: Cross multiply
    30,856x = 66,085 × 66,085
  4. Step 4: Simplify right side
    30,856x = 4,367,227,225
  5. Step 5: Solve for x
    x = 4,367,227,225/30,856
  6. Step 6: Final answer
    x = 141,535.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.