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Finding the Third Proportional to 27,772 and 40,506

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Solution

The third proportional to 27,772 and 40,506 is: 59,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772 : 40,506 = 40,506 : x
  2. Step 2: Convert to fraction form
    27,772/40,506 = 40,506/x
  3. Step 3: Cross multiply
    27,772x = 40,506 × 40,506
  4. Step 4: Simplify right side
    27,772x = 1,640,736,036
  5. Step 5: Solve for x
    x = 1,640,736,036/27,772
  6. Step 6: Final answer
    x = 59,078.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.