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Finding the Third Proportional to 27,654.75 and 40,506.75

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Solution

The third proportional to 27,654.75 and 40,506.75 is: 59,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.75 : 40,506.75 = 40,506.75 : x
  2. Step 2: Convert to fraction form
    27,654.75/40,506.75 = 40,506.75/x
  3. Step 3: Cross multiply
    27,654.75x = 40,506.75 × 40,506.75
  4. Step 4: Simplify right side
    27,654.75x = 1,640,796,795.56
  5. Step 5: Solve for x
    x = 1,640,796,795.56/27,654.75
  6. Step 6: Final answer
    x = 59,331.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.