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Finding the Third Proportional to 37,999.13 and 53,946

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Solution

The third proportional to 37,999.13 and 53,946 is: 76,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.13 : 53,946 = 53,946 : x
  2. Step 2: Convert to fraction form
    37,999.13/53,946 = 53,946/x
  3. Step 3: Cross multiply
    37,999.13x = 53,946 × 53,946
  4. Step 4: Simplify right side
    37,999.13x = 2,910,170,916
  5. Step 5: Solve for x
    x = 2,910,170,916/37,999.13
  6. Step 6: Final answer
    x = 76,585.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.