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Finding the Third Proportional to 19,726.13 and 27,746.25

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Solution

The third proportional to 19,726.13 and 27,746.25 is: 39,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.13 : 27,746.25 = 27,746.25 : x
  2. Step 2: Convert to fraction form
    19,726.13/27,746.25 = 27,746.25/x
  3. Step 3: Cross multiply
    19,726.13x = 27,746.25 × 27,746.25
  4. Step 4: Simplify right side
    19,726.13x = 769,854,389.06
  5. Step 5: Solve for x
    x = 769,854,389.06/19,726.13
  6. Step 6: Final answer
    x = 39,027.15

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