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Finding the Third Proportional to 19,611.50 and 42,499

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Solution

The third proportional to 19,611.50 and 42,499 is: 92,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,611.50 : 42,499 = 42,499 : x
  2. Step 2: Convert to fraction form
    19,611.50/42,499 = 42,499/x
  3. Step 3: Cross multiply
    19,611.50x = 42,499 × 42,499
  4. Step 4: Simplify right side
    19,611.50x = 1,806,165,001
  5. Step 5: Solve for x
    x = 1,806,165,001/19,611.50
  6. Step 6: Final answer
    x = 92,097.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.