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Finding the Third Proportional to 34,643.25 and 74,630.25

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Solution

The third proportional to 34,643.25 and 74,630.25 is: 160,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,643.25 : 74,630.25 = 74,630.25 : x
  2. Step 2: Convert to fraction form
    34,643.25/74,630.25 = 74,630.25/x
  3. Step 3: Cross multiply
    34,643.25x = 74,630.25 × 74,630.25
  4. Step 4: Simplify right side
    34,643.25x = 5,569,674,215.06
  5. Step 5: Solve for x
    x = 5,569,674,215.06/34,643.25
  6. Step 6: Final answer
    x = 160,772.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.