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Finding the Third Proportional to 19,507 and 27,802

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Solution

The third proportional to 19,507 and 27,802 is: 39,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507 : 27,802 = 27,802 : x
  2. Step 2: Convert to fraction form
    19,507/27,802 = 27,802/x
  3. Step 3: Cross multiply
    19,507x = 27,802 × 27,802
  4. Step 4: Simplify right side
    19,507x = 772,951,204
  5. Step 5: Solve for x
    x = 772,951,204/19,507
  6. Step 6: Final answer
    x = 39,624.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.