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Finding the Third Proportional to 8,983.41 and 13,448.53

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Solution

The third proportional to 8,983.41 and 13,448.53 is: 20,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.41 : 13,448.53 = 13,448.53 : x
  2. Step 2: Convert to fraction form
    8,983.41/13,448.53 = 13,448.53/x
  3. Step 3: Cross multiply
    8,983.41x = 13,448.53 × 13,448.53
  4. Step 4: Simplify right side
    8,983.41x = 180,862,992.78
  5. Step 5: Solve for x
    x = 180,862,992.78/8,983.41
  6. Step 6: Final answer
    x = 20,133.01

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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.