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Finding the Third Proportional to 10,949.50 and 17,099.50

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Solution

The third proportional to 10,949.50 and 17,099.50 is: 26,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.50 : 17,099.50 = 17,099.50 : x
  2. Step 2: Convert to fraction form
    10,949.50/17,099.50 = 17,099.50/x
  3. Step 3: Cross multiply
    10,949.50x = 17,099.50 × 17,099.50
  4. Step 4: Simplify right side
    10,949.50x = 292,392,900.25
  5. Step 5: Solve for x
    x = 292,392,900.25/10,949.50
  6. Step 6: Final answer
    x = 26,703.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.