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Finding the Third Proportional to 30,439.88 and 46,814.25

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Solution

The third proportional to 30,439.88 and 46,814.25 is: 71,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.88 : 46,814.25 = 46,814.25 : x
  2. Step 2: Convert to fraction form
    30,439.88/46,814.25 = 46,814.25/x
  3. Step 3: Cross multiply
    30,439.88x = 46,814.25 × 46,814.25
  4. Step 4: Simplify right side
    30,439.88x = 2,191,574,003.06
  5. Step 5: Solve for x
    x = 2,191,574,003.06/30,439.88
  6. Step 6: Final answer
    x = 71,996.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.