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Finding the Third Proportional to 39,971 and 86,347

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Solution

The third proportional to 39,971 and 86,347 is: 186,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971 : 86,347 = 86,347 : x
  2. Step 2: Convert to fraction form
    39,971/86,347 = 86,347/x
  3. Step 3: Cross multiply
    39,971x = 86,347 × 86,347
  4. Step 4: Simplify right side
    39,971x = 7,455,804,409
  5. Step 5: Solve for x
    x = 7,455,804,409/39,971
  6. Step 6: Final answer
    x = 186,530.34

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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.