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Finding the Third Proportional to 19,386 and 27,301

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Solution

The third proportional to 19,386 and 27,301 is: 38,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,386 : 27,301 = 27,301 : x
  2. Step 2: Convert to fraction form
    19,386/27,301 = 27,301/x
  3. Step 3: Cross multiply
    19,386x = 27,301 × 27,301
  4. Step 4: Simplify right side
    19,386x = 745,344,601
  5. Step 5: Solve for x
    x = 745,344,601/19,386
  6. Step 6: Final answer
    x = 38,447.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.