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Finding the Third Proportional to 27,840 and 40,224

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Solution

The third proportional to 27,840 and 40,224 is: 58,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840 : 40,224 = 40,224 : x
  2. Step 2: Convert to fraction form
    27,840/40,224 = 40,224/x
  3. Step 3: Cross multiply
    27,840x = 40,224 × 40,224
  4. Step 4: Simplify right side
    27,840x = 1,617,970,176
  5. Step 5: Solve for x
    x = 1,617,970,176/27,840
  6. Step 6: Final answer
    x = 58,116.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.