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Finding the Third Proportional to 53,028.75 and 77,760.75

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Solution

The third proportional to 53,028.75 and 77,760.75 is: 114,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,028.75 : 77,760.75 = 77,760.75 : x
  2. Step 2: Convert to fraction form
    53,028.75/77,760.75 = 77,760.75/x
  3. Step 3: Cross multiply
    53,028.75x = 77,760.75 × 77,760.75
  4. Step 4: Simplify right side
    53,028.75x = 6,046,734,240.56
  5. Step 5: Solve for x
    x = 6,046,734,240.56/53,028.75
  6. Step 6: Final answer
    x = 114,027.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.