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Finding the Third Proportional to 30,971 and 47,454

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Solution

The third proportional to 30,971 and 47,454 is: 72,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971 : 47,454 = 47,454 : x
  2. Step 2: Convert to fraction form
    30,971/47,454 = 47,454/x
  3. Step 3: Cross multiply
    30,971x = 47,454 × 47,454
  4. Step 4: Simplify right side
    30,971x = 2,251,882,116
  5. Step 5: Solve for x
    x = 2,251,882,116/30,971
  6. Step 6: Final answer
    x = 72,709.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.