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Finding the Third Proportional to 42,818 and 56,814

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Solution

The third proportional to 42,818 and 56,814 is: 75,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,818 : 56,814 = 56,814 : x
  2. Step 2: Convert to fraction form
    42,818/56,814 = 56,814/x
  3. Step 3: Cross multiply
    42,818x = 56,814 × 56,814
  4. Step 4: Simplify right side
    42,818x = 3,227,830,596
  5. Step 5: Solve for x
    x = 3,227,830,596/42,818
  6. Step 6: Final answer
    x = 75,384.90

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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.