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Finding the Third Proportional to 19,411 and 27,817

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Solution

The third proportional to 19,411 and 27,817 is: 39,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,411 : 27,817 = 27,817 : x
  2. Step 2: Convert to fraction form
    19,411/27,817 = 27,817/x
  3. Step 3: Cross multiply
    19,411x = 27,817 × 27,817
  4. Step 4: Simplify right side
    19,411x = 773,785,489
  5. Step 5: Solve for x
    x = 773,785,489/19,411
  6. Step 6: Final answer
    x = 39,863.25

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1.5x scale

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.