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Finding the Third Proportional to 51,652.69 and 79,476.19

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Solution

The third proportional to 51,652.69 and 79,476.19 is: 122,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652.69 : 79,476.19 = 79,476.19 : x
  2. Step 2: Convert to fraction form
    51,652.69/79,476.19 = 79,476.19/x
  3. Step 3: Cross multiply
    51,652.69x = 79,476.19 × 79,476.19
  4. Step 4: Simplify right side
    51,652.69x = 6,316,464,379.54
  5. Step 5: Solve for x
    x = 6,316,464,379.54/51,652.69
  6. Step 6: Final answer
    x = 122,287.24

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Why These Related Problems?

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