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Finding the Third Proportional to 27,082 and 40,398.50

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Solution

The third proportional to 27,082 and 40,398.50 is: 60,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082 : 40,398.50 = 40,398.50 : x
  2. Step 2: Convert to fraction form
    27,082/40,398.50 = 40,398.50/x
  3. Step 3: Cross multiply
    27,082x = 40,398.50 × 40,398.50
  4. Step 4: Simplify right side
    27,082x = 1,632,038,802.25
  5. Step 5: Solve for x
    x = 1,632,038,802.25/27,082
  6. Step 6: Final answer
    x = 60,262.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.