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Finding the Third Proportional to 19,699 and 42,530

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Solution

The third proportional to 19,699 and 42,530 is: 91,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699 : 42,530 = 42,530 : x
  2. Step 2: Convert to fraction form
    19,699/42,530 = 42,530/x
  3. Step 3: Cross multiply
    19,699x = 42,530 × 42,530
  4. Step 4: Simplify right side
    19,699x = 1,808,800,900
  5. Step 5: Solve for x
    x = 1,808,800,900/19,699
  6. Step 6: Final answer
    x = 91,821.97

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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.