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Finding the Third Proportional to 24,140 and 52,168

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Solution

The third proportional to 24,140 and 52,168 is: 112,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140 : 52,168 = 52,168 : x
  2. Step 2: Convert to fraction form
    24,140/52,168 = 52,168/x
  3. Step 3: Cross multiply
    24,140x = 52,168 × 52,168
  4. Step 4: Simplify right side
    24,140x = 2,721,500,224
  5. Step 5: Solve for x
    x = 2,721,500,224/24,140
  6. Step 6: Final answer
    x = 112,738.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.