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Finding the Third Proportional to 39,988 and 86,030

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Solution

The third proportional to 39,988 and 86,030 is: 185,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,988 : 86,030 = 86,030 : x
  2. Step 2: Convert to fraction form
    39,988/86,030 = 86,030/x
  3. Step 3: Cross multiply
    39,988x = 86,030 × 86,030
  4. Step 4: Simplify right side
    39,988x = 7,401,160,900
  5. Step 5: Solve for x
    x = 7,401,160,900/39,988
  6. Step 6: Final answer
    x = 185,084.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.