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Finding the Third Proportional to 19,071 and 27,513

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Solution

The third proportional to 19,071 and 27,513 is: 39,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071 : 27,513 = 27,513 : x
  2. Step 2: Convert to fraction form
    19,071/27,513 = 27,513/x
  3. Step 3: Cross multiply
    19,071x = 27,513 × 27,513
  4. Step 4: Simplify right side
    19,071x = 756,965,169
  5. Step 5: Solve for x
    x = 756,965,169/19,071
  6. Step 6: Final answer
    x = 39,691.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.