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Finding the Third Proportional to 30,347 and 47,502

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Solution

The third proportional to 30,347 and 47,502 is: 74,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,347 : 47,502 = 47,502 : x
  2. Step 2: Convert to fraction form
    30,347/47,502 = 47,502/x
  3. Step 3: Cross multiply
    30,347x = 47,502 × 47,502
  4. Step 4: Simplify right side
    30,347x = 2,256,440,004
  5. Step 5: Solve for x
    x = 2,256,440,004/30,347
  6. Step 6: Final answer
    x = 74,354.63

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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.