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Finding the Third Proportional to 15,845.50 and 34,283

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Solution

The third proportional to 15,845.50 and 34,283 is: 74,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,845.50 : 34,283 = 34,283 : x
  2. Step 2: Convert to fraction form
    15,845.50/34,283 = 34,283/x
  3. Step 3: Cross multiply
    15,845.50x = 34,283 × 34,283
  4. Step 4: Simplify right side
    15,845.50x = 1,175,324,089
  5. Step 5: Solve for x
    x = 1,175,324,089/15,845.50
  6. Step 6: Final answer
    x = 74,174.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.