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Finding the Third Proportional to 35,157.38 and 46,964.81

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Solution

The third proportional to 35,157.38 and 46,964.81 is: 62,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,157.38 : 46,964.81 = 46,964.81 : x
  2. Step 2: Convert to fraction form
    35,157.38/46,964.81 = 46,964.81/x
  3. Step 3: Cross multiply
    35,157.38x = 46,964.81 × 46,964.81
  4. Step 4: Simplify right side
    35,157.38x = 2,205,693,613.16
  5. Step 5: Solve for x
    x = 2,205,693,613.16/35,157.38
  6. Step 6: Final answer
    x = 62,737.72

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.