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Finding the Third Proportional to 36,487.69 and 46,622.81

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Solution

The third proportional to 36,487.69 and 46,622.81 is: 59,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,487.69 : 46,622.81 = 46,622.81 : x
  2. Step 2: Convert to fraction form
    36,487.69/46,622.81 = 46,622.81/x
  3. Step 3: Cross multiply
    36,487.69x = 46,622.81 × 46,622.81
  4. Step 4: Simplify right side
    36,487.69x = 2,173,686,645.41
  5. Step 5: Solve for x
    x = 2,173,686,645.41/36,487.69
  6. Step 6: Final answer
    x = 59,573.15

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.