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Finding the Third Proportional to 24,782 and 53,668

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Solution

The third proportional to 24,782 and 53,668 is: 116,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782 : 53,668 = 53,668 : x
  2. Step 2: Convert to fraction form
    24,782/53,668 = 53,668/x
  3. Step 3: Cross multiply
    24,782x = 53,668 × 53,668
  4. Step 4: Simplify right side
    24,782x = 2,880,254,224
  5. Step 5: Solve for x
    x = 2,880,254,224/24,782
  6. Step 6: Final answer
    x = 116,223.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.