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Finding the Third Proportional to 46,147.50 and 62,640

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Solution

The third proportional to 46,147.50 and 62,640 is: 85,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,147.50 : 62,640 = 62,640 : x
  2. Step 2: Convert to fraction form
    46,147.50/62,640 = 62,640/x
  3. Step 3: Cross multiply
    46,147.50x = 62,640 × 62,640
  4. Step 4: Simplify right side
    46,147.50x = 3,923,769,600
  5. Step 5: Solve for x
    x = 3,923,769,600/46,147.50
  6. Step 6: Final answer
    x = 85,026.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.