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Finding the Third Proportional to 30,080 and 47,311

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Solution

The third proportional to 30,080 and 47,311 is: 74,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,080 : 47,311 = 47,311 : x
  2. Step 2: Convert to fraction form
    30,080/47,311 = 47,311/x
  3. Step 3: Cross multiply
    30,080x = 47,311 × 47,311
  4. Step 4: Simplify right side
    30,080x = 2,238,330,721
  5. Step 5: Solve for x
    x = 2,238,330,721/30,080
  6. Step 6: Final answer
    x = 74,412.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.