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Finding the Third Proportional to 22,168 and 46,840

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Solution

The third proportional to 22,168 and 46,840 is: 98,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,168 : 46,840 = 46,840 : x
  2. Step 2: Convert to fraction form
    22,168/46,840 = 46,840/x
  3. Step 3: Cross multiply
    22,168x = 46,840 × 46,840
  4. Step 4: Simplify right side
    22,168x = 2,193,985,600
  5. Step 5: Solve for x
    x = 2,193,985,600/22,168
  6. Step 6: Final answer
    x = 98,970.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.