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Finding the Third Proportional to 30,344 and 47,498

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Solution

The third proportional to 30,344 and 47,498 is: 74,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344 : 47,498 = 47,498 : x
  2. Step 2: Convert to fraction form
    30,344/47,498 = 47,498/x
  3. Step 3: Cross multiply
    30,344x = 47,498 × 47,498
  4. Step 4: Simplify right side
    30,344x = 2,256,060,004
  5. Step 5: Solve for x
    x = 2,256,060,004/30,344
  6. Step 6: Final answer
    x = 74,349.46

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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.