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Finding the Third Proportional to 27,904.50 and 40,267.13

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Solution

The third proportional to 27,904.50 and 40,267.13 is: 58,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.50 : 40,267.13 = 40,267.13 : x
  2. Step 2: Convert to fraction form
    27,904.50/40,267.13 = 40,267.13/x
  3. Step 3: Cross multiply
    27,904.50x = 40,267.13 × 40,267.13
  4. Step 4: Simplify right side
    27,904.50x = 1,621,441,355.77
  5. Step 5: Solve for x
    x = 1,621,441,355.77/27,904.50
  6. Step 6: Final answer
    x = 58,106.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.