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Finding the Third Proportional to 35,599.50 and 47,921.63

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Solution

The third proportional to 35,599.50 and 47,921.63 is: 64,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,599.50 : 47,921.63 = 47,921.63 : x
  2. Step 2: Convert to fraction form
    35,599.50/47,921.63 = 47,921.63/x
  3. Step 3: Cross multiply
    35,599.50x = 47,921.63 × 47,921.63
  4. Step 4: Simplify right side
    35,599.50x = 2,296,482,142.64
  5. Step 5: Solve for x
    x = 2,296,482,142.64/35,599.50
  6. Step 6: Final answer
    x = 64,508.83

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.