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Finding the Third Proportional to 37,212.75 and 53,051.63

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Solution

The third proportional to 37,212.75 and 53,051.63 is: 75,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,212.75 : 53,051.63 = 53,051.63 : x
  2. Step 2: Convert to fraction form
    37,212.75/53,051.63 = 53,051.63/x
  3. Step 3: Cross multiply
    37,212.75x = 53,051.63 × 53,051.63
  4. Step 4: Simplify right side
    37,212.75x = 2,814,474,915.14
  5. Step 5: Solve for x
    x = 2,814,474,915.14/37,212.75
  6. Step 6: Final answer
    x = 75,632.01

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.