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Finding the Third Proportional to 29,406.75 and 61,304.25

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Solution

The third proportional to 29,406.75 and 61,304.25 is: 127,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.75 : 61,304.25 = 61,304.25 : x
  2. Step 2: Convert to fraction form
    29,406.75/61,304.25 = 61,304.25/x
  3. Step 3: Cross multiply
    29,406.75x = 61,304.25 × 61,304.25
  4. Step 4: Simplify right side
    29,406.75x = 3,758,211,068.06
  5. Step 5: Solve for x
    x = 3,758,211,068.06/29,406.75
  6. Step 6: Final answer
    x = 127,800.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.