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Finding the Third Proportional to 30,268.69 and 43,237.13

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Solution

The third proportional to 30,268.69 and 43,237.13 is: 61,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.69 : 43,237.13 = 43,237.13 : x
  2. Step 2: Convert to fraction form
    30,268.69/43,237.13 = 43,237.13/x
  3. Step 3: Cross multiply
    30,268.69x = 43,237.13 × 43,237.13
  4. Step 4: Simplify right side
    30,268.69x = 1,869,448,978.27
  5. Step 5: Solve for x
    x = 1,869,448,978.27/30,268.69
  6. Step 6: Final answer
    x = 61,761.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.