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Finding the Third Proportional to 30,802 and 47,788

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Solution

The third proportional to 30,802 and 47,788 is: 74,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802 : 47,788 = 47,788 : x
  2. Step 2: Convert to fraction form
    30,802/47,788 = 47,788/x
  3. Step 3: Cross multiply
    30,802x = 47,788 × 47,788
  4. Step 4: Simplify right side
    30,802x = 2,283,692,944
  5. Step 5: Solve for x
    x = 2,283,692,944/30,802
  6. Step 6: Final answer
    x = 74,141.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.