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Finding the Third Proportional to 42,804 and 62,967

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Solution

The third proportional to 42,804 and 62,967 is: 92,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,804 : 62,967 = 62,967 : x
  2. Step 2: Convert to fraction form
    42,804/62,967 = 62,967/x
  3. Step 3: Cross multiply
    42,804x = 62,967 × 62,967
  4. Step 4: Simplify right side
    42,804x = 3,964,843,089
  5. Step 5: Solve for x
    x = 3,964,843,089/42,804
  6. Step 6: Final answer
    x = 92,627.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.