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Finding the Third Proportional to 35,846.30 and 55,478.04

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Solution

The third proportional to 35,846.30 and 55,478.04 is: 85,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,846.30 : 55,478.04 = 55,478.04 : x
  2. Step 2: Convert to fraction form
    35,846.30/55,478.04 = 55,478.04/x
  3. Step 3: Cross multiply
    35,846.30x = 55,478.04 × 55,478.04
  4. Step 4: Simplify right side
    35,846.30x = 3,077,812,818.22
  5. Step 5: Solve for x
    x = 3,077,812,818.22/35,846.30
  6. Step 6: Final answer
    x = 85,861.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.