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Finding the Third Proportional to 7,434.21 and 16,347.02

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Solution

The third proportional to 7,434.21 and 16,347.02 is: 35,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.21 : 16,347.02 = 16,347.02 : x
  2. Step 2: Convert to fraction form
    7,434.21/16,347.02 = 16,347.02/x
  3. Step 3: Cross multiply
    7,434.21x = 16,347.02 × 16,347.02
  4. Step 4: Simplify right side
    7,434.21x = 267,225,175.27
  5. Step 5: Solve for x
    x = 267,225,175.27/7,434.21
  6. Step 6: Final answer
    x = 35,945.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.