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Finding the Third Proportional to 19,954 and 29,758

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Solution

The third proportional to 19,954 and 29,758 is: 44,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,954 : 29,758 = 29,758 : x
  2. Step 2: Convert to fraction form
    19,954/29,758 = 29,758/x
  3. Step 3: Cross multiply
    19,954x = 29,758 × 29,758
  4. Step 4: Simplify right side
    19,954x = 885,538,564
  5. Step 5: Solve for x
    x = 885,538,564/19,954
  6. Step 6: Final answer
    x = 44,379.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.