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Finding the Third Proportional to 10,767.75 and 22,840.13

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Solution

The third proportional to 10,767.75 and 22,840.13 is: 48,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.75 : 22,840.13 = 22,840.13 : x
  2. Step 2: Convert to fraction form
    10,767.75/22,840.13 = 22,840.13/x
  3. Step 3: Cross multiply
    10,767.75x = 22,840.13 × 22,840.13
  4. Step 4: Simplify right side
    10,767.75x = 521,671,310.02
  5. Step 5: Solve for x
    x = 521,671,310.02/10,767.75
  6. Step 6: Final answer
    x = 48,447.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.