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Finding the Third Proportional to 18,751 and 27,386.06

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Solution

The third proportional to 18,751 and 27,386.06 is: 39,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,751 : 27,386.06 = 27,386.06 : x
  2. Step 2: Convert to fraction form
    18,751/27,386.06 = 27,386.06/x
  3. Step 3: Cross multiply
    18,751x = 27,386.06 × 27,386.06
  4. Step 4: Simplify right side
    18,751x = 749,996,419.25
  5. Step 5: Solve for x
    x = 749,996,419.25/18,751
  6. Step 6: Final answer
    x = 39,997.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.