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Finding the Third Proportional to 20,117 and 44,216

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Solution

The third proportional to 20,117 and 44,216 is: 97,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117 : 44,216 = 44,216 : x
  2. Step 2: Convert to fraction form
    20,117/44,216 = 44,216/x
  3. Step 3: Cross multiply
    20,117x = 44,216 × 44,216
  4. Step 4: Simplify right side
    20,117x = 1,955,054,656
  5. Step 5: Solve for x
    x = 1,955,054,656/20,117
  6. Step 6: Final answer
    x = 97,184.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.