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Finding the Third Proportional to 42,808 and 56,817

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Solution

The third proportional to 42,808 and 56,817 is: 75,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,808 : 56,817 = 56,817 : x
  2. Step 2: Convert to fraction form
    42,808/56,817 = 56,817/x
  3. Step 3: Cross multiply
    42,808x = 56,817 × 56,817
  4. Step 4: Simplify right side
    42,808x = 3,228,171,489
  5. Step 5: Solve for x
    x = 3,228,171,489/42,808
  6. Step 6: Final answer
    x = 75,410.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.