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Finding the Third Proportional to 10,801.50 and 14,593.50

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Solution

The third proportional to 10,801.50 and 14,593.50 is: 19,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.50 : 14,593.50 = 14,593.50 : x
  2. Step 2: Convert to fraction form
    10,801.50/14,593.50 = 14,593.50/x
  3. Step 3: Cross multiply
    10,801.50x = 14,593.50 × 14,593.50
  4. Step 4: Simplify right side
    10,801.50x = 212,970,242.25
  5. Step 5: Solve for x
    x = 212,970,242.25/10,801.50
  6. Step 6: Final answer
    x = 19,716.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.