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Finding the Third Proportional to 10,881 and 11,893.50

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Solution

The third proportional to 10,881 and 11,893.50 is: 13,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881 : 11,893.50 = 11,893.50 : x
  2. Step 2: Convert to fraction form
    10,881/11,893.50 = 11,893.50/x
  3. Step 3: Cross multiply
    10,881x = 11,893.50 × 11,893.50
  4. Step 4: Simplify right side
    10,881x = 141,455,342.25
  5. Step 5: Solve for x
    x = 141,455,342.25/10,881
  6. Step 6: Final answer
    x = 13,000.22

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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.