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Finding the Third Proportional to 35,580 and 82,362

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Solution

The third proportional to 35,580 and 82,362 is: 190,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,580 : 82,362 = 82,362 : x
  2. Step 2: Convert to fraction form
    35,580/82,362 = 82,362/x
  3. Step 3: Cross multiply
    35,580x = 82,362 × 82,362
  4. Step 4: Simplify right side
    35,580x = 6,783,499,044
  5. Step 5: Solve for x
    x = 6,783,499,044/35,580
  6. Step 6: Final answer
    x = 190,654.84

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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.