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Finding the Third Proportional to 35,941.64 and 54,416.18

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Solution

The third proportional to 35,941.64 and 54,416.18 is: 82,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,941.64 : 54,416.18 = 54,416.18 : x
  2. Step 2: Convert to fraction form
    35,941.64/54,416.18 = 54,416.18/x
  3. Step 3: Cross multiply
    35,941.64x = 54,416.18 × 54,416.18
  4. Step 4: Simplify right side
    35,941.64x = 2,961,120,611.78
  5. Step 5: Solve for x
    x = 2,961,120,611.78/35,941.64
  6. Step 6: Final answer
    x = 82,386.91

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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.