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Finding the Third Proportional to 19,866 and 29,255

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Solution

The third proportional to 19,866 and 29,255 is: 43,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866 : 29,255 = 29,255 : x
  2. Step 2: Convert to fraction form
    19,866/29,255 = 29,255/x
  3. Step 3: Cross multiply
    19,866x = 29,255 × 29,255
  4. Step 4: Simplify right side
    19,866x = 855,855,025
  5. Step 5: Solve for x
    x = 855,855,025/19,866
  6. Step 6: Final answer
    x = 43,081.40

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