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Finding the Third Proportional to 55,576.13 and 75,021.19

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Solution

The third proportional to 55,576.13 and 75,021.19 is: 101,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,576.13 : 75,021.19 = 75,021.19 : x
  2. Step 2: Convert to fraction form
    55,576.13/75,021.19 = 75,021.19/x
  3. Step 3: Cross multiply
    55,576.13x = 75,021.19 × 75,021.19
  4. Step 4: Simplify right side
    55,576.13x = 5,628,178,573.91
  5. Step 5: Solve for x
    x = 5,628,178,573.91/55,576.13
  6. Step 6: Final answer
    x = 101,269.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.