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Finding the Third Proportional to 19,866 and 29,335

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Solution

The third proportional to 19,866 and 29,335 is: 43,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866 : 29,335 = 29,335 : x
  2. Step 2: Convert to fraction form
    19,866/29,335 = 29,335/x
  3. Step 3: Cross multiply
    19,866x = 29,335 × 29,335
  4. Step 4: Simplify right side
    19,866x = 860,542,225
  5. Step 5: Solve for x
    x = 860,542,225/19,866
  6. Step 6: Final answer
    x = 43,317.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.