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Finding the Third Proportional to 10,636.50 and 22,670.25

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Solution

The third proportional to 10,636.50 and 22,670.25 is: 48,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.50 : 22,670.25 = 22,670.25 : x
  2. Step 2: Convert to fraction form
    10,636.50/22,670.25 = 22,670.25/x
  3. Step 3: Cross multiply
    10,636.50x = 22,670.25 × 22,670.25
  4. Step 4: Simplify right side
    10,636.50x = 513,940,235.06
  5. Step 5: Solve for x
    x = 513,940,235.06/10,636.50
  6. Step 6: Final answer
    x = 48,318.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.