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Finding the Third Proportional to 42,002 and 56,043

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Solution

The third proportional to 42,002 and 56,043 is: 74,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,002 : 56,043 = 56,043 : x
  2. Step 2: Convert to fraction form
    42,002/56,043 = 56,043/x
  3. Step 3: Cross multiply
    42,002x = 56,043 × 56,043
  4. Step 4: Simplify right side
    42,002x = 3,140,817,849
  5. Step 5: Solve for x
    x = 3,140,817,849/42,002
  6. Step 6: Final answer
    x = 74,777.82

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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.