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Finding the Third Proportional to 10,593.28 and 14,525.42

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Solution

The third proportional to 10,593.28 and 14,525.42 is: 19,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.28 : 14,525.42 = 14,525.42 : x
  2. Step 2: Convert to fraction form
    10,593.28/14,525.42 = 14,525.42/x
  3. Step 3: Cross multiply
    10,593.28x = 14,525.42 × 14,525.42
  4. Step 4: Simplify right side
    10,593.28x = 210,987,823.91
  5. Step 5: Solve for x
    x = 210,987,823.91/10,593.28
  6. Step 6: Final answer
    x = 19,917.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.