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Finding the Third Proportional to 32,353 and 69,430

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Solution

The third proportional to 32,353 and 69,430 is: 148,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353 : 69,430 = 69,430 : x
  2. Step 2: Convert to fraction form
    32,353/69,430 = 69,430/x
  3. Step 3: Cross multiply
    32,353x = 69,430 × 69,430
  4. Step 4: Simplify right side
    32,353x = 4,820,524,900
  5. Step 5: Solve for x
    x = 4,820,524,900/32,353
  6. Step 6: Final answer
    x = 148,997.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.