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Finding the Third Proportional to 19,787 and 42,646

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Solution

The third proportional to 19,787 and 42,646 is: 91,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787 : 42,646 = 42,646 : x
  2. Step 2: Convert to fraction form
    19,787/42,646 = 42,646/x
  3. Step 3: Cross multiply
    19,787x = 42,646 × 42,646
  4. Step 4: Simplify right side
    19,787x = 1,818,681,316
  5. Step 5: Solve for x
    x = 1,818,681,316/19,787
  6. Step 6: Final answer
    x = 91,912.94

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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.