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Finding the Third Proportional to 41,971.50 and 63,361.50

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Solution

The third proportional to 41,971.50 and 63,361.50 is: 95,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,971.50 : 63,361.50 = 63,361.50 : x
  2. Step 2: Convert to fraction form
    41,971.50/63,361.50 = 63,361.50/x
  3. Step 3: Cross multiply
    41,971.50x = 63,361.50 × 63,361.50
  4. Step 4: Simplify right side
    41,971.50x = 4,014,679,682.25
  5. Step 5: Solve for x
    x = 4,014,679,682.25/41,971.50
  6. Step 6: Final answer
    x = 95,652.52

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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.