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Finding the Third Proportional to 19,752 and 27,949

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Solution

The third proportional to 19,752 and 27,949 is: 39,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752 : 27,949 = 27,949 : x
  2. Step 2: Convert to fraction form
    19,752/27,949 = 27,949/x
  3. Step 3: Cross multiply
    19,752x = 27,949 × 27,949
  4. Step 4: Simplify right side
    19,752x = 781,146,601
  5. Step 5: Solve for x
    x = 781,146,601/19,752
  6. Step 6: Final answer
    x = 39,547.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.