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Finding the Third Proportional to 29,706.75 and 61,805.53

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Solution

The third proportional to 29,706.75 and 61,805.53 is: 128,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.75 : 61,805.53 = 61,805.53 : x
  2. Step 2: Convert to fraction form
    29,706.75/61,805.53 = 61,805.53/x
  3. Step 3: Cross multiply
    29,706.75x = 61,805.53 × 61,805.53
  4. Step 4: Simplify right side
    29,706.75x = 3,819,923,693.09
  5. Step 5: Solve for x
    x = 3,819,923,693.09/29,706.75
  6. Step 6: Final answer
    x = 128,587.73

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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.