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Finding the Third Proportional to 37,971 and 57,415.50

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Solution

The third proportional to 37,971 and 57,415.50 is: 86,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971 : 57,415.50 = 57,415.50 : x
  2. Step 2: Convert to fraction form
    37,971/57,415.50 = 57,415.50/x
  3. Step 3: Cross multiply
    37,971x = 57,415.50 × 57,415.50
  4. Step 4: Simplify right side
    37,971x = 3,296,539,640.25
  5. Step 5: Solve for x
    x = 3,296,539,640.25/37,971
  6. Step 6: Final answer
    x = 86,817.30

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Why These Related Problems?

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