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Finding the Third Proportional to 10,755 and 11,767.50

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Solution

The third proportional to 10,755 and 11,767.50 is: 12,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755 : 11,767.50 = 11,767.50 : x
  2. Step 2: Convert to fraction form
    10,755/11,767.50 = 11,767.50/x
  3. Step 3: Cross multiply
    10,755x = 11,767.50 × 11,767.50
  4. Step 4: Simplify right side
    10,755x = 138,474,056.25
  5. Step 5: Solve for x
    x = 138,474,056.25/10,755
  6. Step 6: Final answer
    x = 12,875.32

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.