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Finding the Third Proportional to 29,770 and 50,703

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Solution

The third proportional to 29,770 and 50,703 is: 86,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770 : 50,703 = 50,703 : x
  2. Step 2: Convert to fraction form
    29,770/50,703 = 50,703/x
  3. Step 3: Cross multiply
    29,770x = 50,703 × 50,703
  4. Step 4: Simplify right side
    29,770x = 2,570,794,209
  5. Step 5: Solve for x
    x = 2,570,794,209/29,770
  6. Step 6: Final answer
    x = 86,355.20

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.