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Finding the Third Proportional to 19,225.88 and 42,232.13

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Solution

The third proportional to 19,225.88 and 42,232.13 is: 92,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,225.88 : 42,232.13 = 42,232.13 : x
  2. Step 2: Convert to fraction form
    19,225.88/42,232.13 = 42,232.13/x
  3. Step 3: Cross multiply
    19,225.88x = 42,232.13 × 42,232.13
  4. Step 4: Simplify right side
    19,225.88x = 1,783,552,382.02
  5. Step 5: Solve for x
    x = 1,783,552,382.02/19,225.88
  6. Step 6: Final answer
    x = 92,768.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.