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Finding the Third Proportional to 13,697.44 and 20,547.56

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Solution

The third proportional to 13,697.44 and 20,547.56 is: 30,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.44 : 20,547.56 = 20,547.56 : x
  2. Step 2: Convert to fraction form
    13,697.44/20,547.56 = 20,547.56/x
  3. Step 3: Cross multiply
    13,697.44x = 20,547.56 × 20,547.56
  4. Step 4: Simplify right side
    13,697.44x = 422,202,324.69
  5. Step 5: Solve for x
    x = 422,202,324.69/13,697.44
  6. Step 6: Final answer
    x = 30,823.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.