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Finding the Third Proportional to 21,681 and 44,817

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Solution

The third proportional to 21,681 and 44,817 is: 92,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681 : 44,817 = 44,817 : x
  2. Step 2: Convert to fraction form
    21,681/44,817 = 44,817/x
  3. Step 3: Cross multiply
    21,681x = 44,817 × 44,817
  4. Step 4: Simplify right side
    21,681x = 2,008,563,489
  5. Step 5: Solve for x
    x = 2,008,563,489/21,681
  6. Step 6: Final answer
    x = 92,641.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.