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Finding the Third Proportional to 42,806 and 56,814

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Solution

The third proportional to 42,806 and 56,814 is: 75,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,806 : 56,814 = 56,814 : x
  2. Step 2: Convert to fraction form
    42,806/56,814 = 56,814/x
  3. Step 3: Cross multiply
    42,806x = 56,814 × 56,814
  4. Step 4: Simplify right side
    42,806x = 3,227,830,596
  5. Step 5: Solve for x
    x = 3,227,830,596/42,806
  6. Step 6: Final answer
    x = 75,406.03

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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.