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Finding the Third Proportional to 30,836 and 66,586

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Solution

The third proportional to 30,836 and 66,586 is: 143,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836 : 66,586 = 66,586 : x
  2. Step 2: Convert to fraction form
    30,836/66,586 = 66,586/x
  3. Step 3: Cross multiply
    30,836x = 66,586 × 66,586
  4. Step 4: Simplify right side
    30,836x = 4,433,695,396
  5. Step 5: Solve for x
    x = 4,433,695,396/30,836
  6. Step 6: Final answer
    x = 143,783.09

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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.