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Finding the Third Proportional to 42,804 and 66,798

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Solution

The third proportional to 42,804 and 66,798 is: 104,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,804 : 66,798 = 66,798 : x
  2. Step 2: Convert to fraction form
    42,804/66,798 = 66,798/x
  3. Step 3: Cross multiply
    42,804x = 66,798 × 66,798
  4. Step 4: Simplify right side
    42,804x = 4,461,972,804
  5. Step 5: Solve for x
    x = 4,461,972,804/42,804
  6. Step 6: Final answer
    x = 104,241.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.