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Finding the Third Proportional to 57,760.88 and 77,261.63

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Solution

The third proportional to 57,760.88 and 77,261.63 is: 103,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,760.88 : 77,261.63 = 77,261.63 : x
  2. Step 2: Convert to fraction form
    57,760.88/77,261.63 = 77,261.63/x
  3. Step 3: Cross multiply
    57,760.88x = 77,261.63 × 77,261.63
  4. Step 4: Simplify right side
    57,760.88x = 5,969,358,697.64
  5. Step 5: Solve for x
    x = 5,969,358,697.64/57,760.88
  6. Step 6: Final answer
    x = 103,346.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.