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Finding the Third Proportional to 19,531.13 and 41,009.63

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Solution

The third proportional to 19,531.13 and 41,009.63 is: 86,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,531.13 : 41,009.63 = 41,009.63 : x
  2. Step 2: Convert to fraction form
    19,531.13/41,009.63 = 41,009.63/x
  3. Step 3: Cross multiply
    19,531.13x = 41,009.63 × 41,009.63
  4. Step 4: Simplify right side
    19,531.13x = 1,681,789,342.64
  5. Step 5: Solve for x
    x = 1,681,789,342.64/19,531.13
  6. Step 6: Final answer
    x = 86,108.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.