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Finding the Third Proportional to 42,948 and 66,051

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Solution

The third proportional to 42,948 and 66,051 is: 101,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,948 : 66,051 = 66,051 : x
  2. Step 2: Convert to fraction form
    42,948/66,051 = 66,051/x
  3. Step 3: Cross multiply
    42,948x = 66,051 × 66,051
  4. Step 4: Simplify right side
    42,948x = 4,362,734,601
  5. Step 5: Solve for x
    x = 4,362,734,601/42,948
  6. Step 6: Final answer
    x = 101,581.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.