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Finding the Third Proportional to 22,012 and 46,200

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Solution

The third proportional to 22,012 and 46,200 is: 96,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012 : 46,200 = 46,200 : x
  2. Step 2: Convert to fraction form
    22,012/46,200 = 46,200/x
  3. Step 3: Cross multiply
    22,012x = 46,200 × 46,200
  4. Step 4: Simplify right side
    22,012x = 2,134,440,000
  5. Step 5: Solve for x
    x = 2,134,440,000/22,012
  6. Step 6: Final answer
    x = 96,967.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.