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Finding the Third Proportional to 30,883.50 and 41,941.13

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Solution

The third proportional to 30,883.50 and 41,941.13 is: 56,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.50 : 41,941.13 = 41,941.13 : x
  2. Step 2: Convert to fraction form
    30,883.50/41,941.13 = 41,941.13/x
  3. Step 3: Cross multiply
    30,883.50x = 41,941.13 × 41,941.13
  4. Step 4: Simplify right side
    30,883.50x = 1,759,057,966.27
  5. Step 5: Solve for x
    x = 1,759,057,966.27/30,883.50
  6. Step 6: Final answer
    x = 56,957.86

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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.