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Finding the Third Proportional to 19,482.19 and 42,077.81

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Solution

The third proportional to 19,482.19 and 42,077.81 is: 90,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,482.19 : 42,077.81 = 42,077.81 : x
  2. Step 2: Convert to fraction form
    19,482.19/42,077.81 = 42,077.81/x
  3. Step 3: Cross multiply
    19,482.19x = 42,077.81 × 42,077.81
  4. Step 4: Simplify right side
    19,482.19x = 1,770,542,304.79
  5. Step 5: Solve for x
    x = 1,770,542,304.79/19,482.19
  6. Step 6: Final answer
    x = 90,880.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.