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Finding the Third Proportional to 29,783 and 52,897

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Solution

The third proportional to 29,783 and 52,897 is: 93,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783 : 52,897 = 52,897 : x
  2. Step 2: Convert to fraction form
    29,783/52,897 = 52,897/x
  3. Step 3: Cross multiply
    29,783x = 52,897 × 52,897
  4. Step 4: Simplify right side
    29,783x = 2,798,092,609
  5. Step 5: Solve for x
    x = 2,798,092,609/29,783
  6. Step 6: Final answer
    x = 93,949.32

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.