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Finding the Third Proportional to 27,705 and 41,551.50

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Solution

The third proportional to 27,705 and 41,551.50 is: 62,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705 : 41,551.50 = 41,551.50 : x
  2. Step 2: Convert to fraction form
    27,705/41,551.50 = 41,551.50/x
  3. Step 3: Cross multiply
    27,705x = 41,551.50 × 41,551.50
  4. Step 4: Simplify right side
    27,705x = 1,726,527,152.25
  5. Step 5: Solve for x
    x = 1,726,527,152.25/27,705
  6. Step 6: Final answer
    x = 62,318.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.