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Finding the Third Proportional to 31,000 and 47,553

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Solution

The third proportional to 31,000 and 47,553 is: 72,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000 : 47,553 = 47,553 : x
  2. Step 2: Convert to fraction form
    31,000/47,553 = 47,553/x
  3. Step 3: Cross multiply
    31,000x = 47,553 × 47,553
  4. Step 4: Simplify right side
    31,000x = 2,261,287,809
  5. Step 5: Solve for x
    x = 2,261,287,809/31,000
  6. Step 6: Final answer
    x = 72,944.77

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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.