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Finding the Third Proportional to 19,582 and 27,914

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Solution

The third proportional to 19,582 and 27,914 is: 39,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,582 : 27,914 = 27,914 : x
  2. Step 2: Convert to fraction form
    19,582/27,914 = 27,914/x
  3. Step 3: Cross multiply
    19,582x = 27,914 × 27,914
  4. Step 4: Simplify right side
    19,582x = 779,191,396
  5. Step 5: Solve for x
    x = 779,191,396/19,582
  6. Step 6: Final answer
    x = 39,791.21

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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.