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Finding the Third Proportional to 27,904.50 and 44,718.75

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Solution

The third proportional to 27,904.50 and 44,718.75 is: 71,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.50 : 44,718.75 = 44,718.75 : x
  2. Step 2: Convert to fraction form
    27,904.50/44,718.75 = 44,718.75/x
  3. Step 3: Cross multiply
    27,904.50x = 44,718.75 × 44,718.75
  4. Step 4: Simplify right side
    27,904.50x = 1,999,766,601.56
  5. Step 5: Solve for x
    x = 1,999,766,601.56/27,904.50
  6. Step 6: Final answer
    x = 71,664.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.