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Finding the Third Proportional to 41,607 and 62,941.50

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Solution

The third proportional to 41,607 and 62,941.50 is: 95,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,607 : 62,941.50 = 62,941.50 : x
  2. Step 2: Convert to fraction form
    41,607/62,941.50 = 62,941.50/x
  3. Step 3: Cross multiply
    41,607x = 62,941.50 × 62,941.50
  4. Step 4: Simplify right side
    41,607x = 3,961,632,422.25
  5. Step 5: Solve for x
    x = 3,961,632,422.25/41,607
  6. Step 6: Final answer
    x = 95,215.53

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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.