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Finding the Third Proportional to 37,213.13 and 55,904.06

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Solution

The third proportional to 37,213.13 and 55,904.06 is: 83,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,213.13 : 55,904.06 = 55,904.06 : x
  2. Step 2: Convert to fraction form
    37,213.13/55,904.06 = 55,904.06/x
  3. Step 3: Cross multiply
    37,213.13x = 55,904.06 × 55,904.06
  4. Step 4: Simplify right side
    37,213.13x = 3,125,264,204.00
  5. Step 5: Solve for x
    x = 3,125,264,204.00/37,213.13
  6. Step 6: Final answer
    x = 83,982.85

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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.