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Finding the Third Proportional to 19,571 and 27,709

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Solution

The third proportional to 19,571 and 27,709 is: 39,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571 : 27,709 = 27,709 : x
  2. Step 2: Convert to fraction form
    19,571/27,709 = 27,709/x
  3. Step 3: Cross multiply
    19,571x = 27,709 × 27,709
  4. Step 4: Simplify right side
    19,571x = 767,788,681
  5. Step 5: Solve for x
    x = 767,788,681/19,571
  6. Step 6: Final answer
    x = 39,230.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.