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Finding the Third Proportional to 30,685 and 66,203

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Solution

The third proportional to 30,685 and 66,203 is: 142,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685 : 66,203 = 66,203 : x
  2. Step 2: Convert to fraction form
    30,685/66,203 = 66,203/x
  3. Step 3: Cross multiply
    30,685x = 66,203 × 66,203
  4. Step 4: Simplify right side
    30,685x = 4,382,837,209
  5. Step 5: Solve for x
    x = 4,382,837,209/30,685
  6. Step 6: Final answer
    x = 142,833.22

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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.