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Finding the Third Proportional to 30,032 and 43,259

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Solution

The third proportional to 30,032 and 43,259 is: 62,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032 : 43,259 = 43,259 : x
  2. Step 2: Convert to fraction form
    30,032/43,259 = 43,259/x
  3. Step 3: Cross multiply
    30,032x = 43,259 × 43,259
  4. Step 4: Simplify right side
    30,032x = 1,871,341,081
  5. Step 5: Solve for x
    x = 1,871,341,081/30,032
  6. Step 6: Final answer
    x = 62,311.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.