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Finding the Third Proportional to 37,701.42 and 58,777.03

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Solution

The third proportional to 37,701.42 and 58,777.03 is: 91,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,701.42 : 58,777.03 = 58,777.03 : x
  2. Step 2: Convert to fraction form
    37,701.42/58,777.03 = 58,777.03/x
  3. Step 3: Cross multiply
    37,701.42x = 58,777.03 × 58,777.03
  4. Step 4: Simplify right side
    37,701.42x = 3,454,739,402.56
  5. Step 5: Solve for x
    x = 3,454,739,402.56/37,701.42
  6. Step 6: Final answer
    x = 91,634.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.