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Finding the Third Proportional to 34,668 and 53,561.25

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Solution

The third proportional to 34,668 and 53,561.25 is: 82,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668 : 53,561.25 = 53,561.25 : x
  2. Step 2: Convert to fraction form
    34,668/53,561.25 = 53,561.25/x
  3. Step 3: Cross multiply
    34,668x = 53,561.25 × 53,561.25
  4. Step 4: Simplify right side
    34,668x = 2,868,807,501.56
  5. Step 5: Solve for x
    x = 2,868,807,501.56/34,668
  6. Step 6: Final answer
    x = 82,750.88

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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.