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Finding the Third Proportional to 8,610.21 and 13,299.29

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Solution

The third proportional to 8,610.21 and 13,299.29 is: 20,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.21 : 13,299.29 = 13,299.29 : x
  2. Step 2: Convert to fraction form
    8,610.21/13,299.29 = 13,299.29/x
  3. Step 3: Cross multiply
    8,610.21x = 13,299.29 × 13,299.29
  4. Step 4: Simplify right side
    8,610.21x = 176,871,018.14
  5. Step 5: Solve for x
    x = 176,871,018.14/8,610.21
  6. Step 6: Final answer
    x = 20,542.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.