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Finding the Third Proportional to 19,799 and 29,050

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Solution

The third proportional to 19,799 and 29,050 is: 42,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,799 : 29,050 = 29,050 : x
  2. Step 2: Convert to fraction form
    19,799/29,050 = 29,050/x
  3. Step 3: Cross multiply
    19,799x = 29,050 × 29,050
  4. Step 4: Simplify right side
    19,799x = 843,902,500
  5. Step 5: Solve for x
    x = 843,902,500/19,799
  6. Step 6: Final answer
    x = 42,623.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.