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Finding the Third Proportional to 39,215 and 58,066

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Solution

The third proportional to 39,215 and 58,066 is: 85,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,215 : 58,066 = 58,066 : x
  2. Step 2: Convert to fraction form
    39,215/58,066 = 58,066/x
  3. Step 3: Cross multiply
    39,215x = 58,066 × 58,066
  4. Step 4: Simplify right side
    39,215x = 3,371,660,356
  5. Step 5: Solve for x
    x = 3,371,660,356/39,215
  6. Step 6: Final answer
    x = 85,978.84

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.