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Finding the Third Proportional to 30,412.97 and 64,243.13

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Solution

The third proportional to 30,412.97 and 64,243.13 is: 135,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.97 : 64,243.13 = 64,243.13 : x
  2. Step 2: Convert to fraction form
    30,412.97/64,243.13 = 64,243.13/x
  3. Step 3: Cross multiply
    30,412.97x = 64,243.13 × 64,243.13
  4. Step 4: Simplify right side
    30,412.97x = 4,127,179,109.77
  5. Step 5: Solve for x
    x = 4,127,179,109.77/30,412.97
  6. Step 6: Final answer
    x = 135,704.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.