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Finding the Third Proportional to 42,807 and 56,800

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Solution

The third proportional to 42,807 and 56,800 is: 75,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,807 : 56,800 = 56,800 : x
  2. Step 2: Convert to fraction form
    42,807/56,800 = 56,800/x
  3. Step 3: Cross multiply
    42,807x = 56,800 × 56,800
  4. Step 4: Simplify right side
    42,807x = 3,226,240,000
  5. Step 5: Solve for x
    x = 3,226,240,000/42,807
  6. Step 6: Final answer
    x = 75,367.11

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