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Finding the Third Proportional to 35,580 and 82,361

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Solution

The third proportional to 35,580 and 82,361 is: 190,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,580 : 82,361 = 82,361 : x
  2. Step 2: Convert to fraction form
    35,580/82,361 = 82,361/x
  3. Step 3: Cross multiply
    35,580x = 82,361 × 82,361
  4. Step 4: Simplify right side
    35,580x = 6,783,334,321
  5. Step 5: Solve for x
    x = 6,783,334,321/35,580
  6. Step 6: Final answer
    x = 190,650.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.