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Finding the Third Proportional to 37,953 and 57,451.50

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Solution

The third proportional to 37,953 and 57,451.50 is: 86,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,953 : 57,451.50 = 57,451.50 : x
  2. Step 2: Convert to fraction form
    37,953/57,451.50 = 57,451.50/x
  3. Step 3: Cross multiply
    37,953x = 57,451.50 × 57,451.50
  4. Step 4: Simplify right side
    37,953x = 3,300,674,852.25
  5. Step 5: Solve for x
    x = 3,300,674,852.25/37,953
  6. Step 6: Final answer
    x = 86,967.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.