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Finding the Third Proportional to 53,469 and 74,751.75

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Solution

The third proportional to 53,469 and 74,751.75 is: 104,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,469 : 74,751.75 = 74,751.75 : x
  2. Step 2: Convert to fraction form
    53,469/74,751.75 = 74,751.75/x
  3. Step 3: Cross multiply
    53,469x = 74,751.75 × 74,751.75
  4. Step 4: Simplify right side
    53,469x = 5,587,824,128.06
  5. Step 5: Solve for x
    x = 5,587,824,128.06/53,469
  6. Step 6: Final answer
    x = 104,505.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.