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Finding the Third Proportional to 42,726.23 and 66,323.81

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Solution

The third proportional to 42,726.23 and 66,323.81 is: 102,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,726.23 : 66,323.81 = 66,323.81 : x
  2. Step 2: Convert to fraction form
    42,726.23/66,323.81 = 66,323.81/x
  3. Step 3: Cross multiply
    42,726.23x = 66,323.81 × 66,323.81
  4. Step 4: Simplify right side
    42,726.23x = 4,398,848,104.54
  5. Step 5: Solve for x
    x = 4,398,848,104.54/42,726.23
  6. Step 6: Final answer
    x = 102,954.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.