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Finding the Third Proportional to 37,499.63 and 52,741.13

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Solution

The third proportional to 37,499.63 and 52,741.13 is: 74,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,499.63 : 52,741.13 = 52,741.13 : x
  2. Step 2: Convert to fraction form
    37,499.63/52,741.13 = 52,741.13/x
  3. Step 3: Cross multiply
    37,499.63x = 52,741.13 × 52,741.13
  4. Step 4: Simplify right side
    37,499.63x = 2,781,626,266.27
  5. Step 5: Solve for x
    x = 2,781,626,266.27/37,499.63
  6. Step 6: Final answer
    x = 74,177.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.