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Finding the Third Proportional to 19,628 and 42,385

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Solution

The third proportional to 19,628 and 42,385 is: 91,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,628 : 42,385 = 42,385 : x
  2. Step 2: Convert to fraction form
    19,628/42,385 = 42,385/x
  3. Step 3: Cross multiply
    19,628x = 42,385 × 42,385
  4. Step 4: Simplify right side
    19,628x = 1,796,488,225
  5. Step 5: Solve for x
    x = 1,796,488,225/19,628
  6. Step 6: Final answer
    x = 91,526.81

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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.