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Finding the Third Proportional to 34,346.25 and 54,285.75

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Solution

The third proportional to 34,346.25 and 54,285.75 is: 85,801.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,346.25 : 54,285.75 = 54,285.75 : x
  2. Step 2: Convert to fraction form
    34,346.25/54,285.75 = 54,285.75/x
  3. Step 3: Cross multiply
    34,346.25x = 54,285.75 × 54,285.75
  4. Step 4: Simplify right side
    34,346.25x = 2,946,942,653.06
  5. Step 5: Solve for x
    x = 2,946,942,653.06/34,346.25
  6. Step 6: Final answer
    x = 85,801.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.