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Finding the Third Proportional to 19,859.63 and 42,382.13

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Solution

The third proportional to 19,859.63 and 42,382.13 is: 90,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.63 : 42,382.13 = 42,382.13 : x
  2. Step 2: Convert to fraction form
    19,859.63/42,382.13 = 42,382.13/x
  3. Step 3: Cross multiply
    19,859.63x = 42,382.13 × 42,382.13
  4. Step 4: Simplify right side
    19,859.63x = 1,796,244,519.52
  5. Step 5: Solve for x
    x = 1,796,244,519.52/19,859.63
  6. Step 6: Final answer
    x = 90,447.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.