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Finding the Third Proportional to 27,327 and 40,066.50

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Solution

The third proportional to 27,327 and 40,066.50 is: 58,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,327 : 40,066.50 = 40,066.50 : x
  2. Step 2: Convert to fraction form
    27,327/40,066.50 = 40,066.50/x
  3. Step 3: Cross multiply
    27,327x = 40,066.50 × 40,066.50
  4. Step 4: Simplify right side
    27,327x = 1,605,324,422.25
  5. Step 5: Solve for x
    x = 1,605,324,422.25/27,327
  6. Step 6: Final answer
    x = 58,744.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.