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Finding the Third Proportional to 57,935.25 and 77,595.75

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Solution

The third proportional to 57,935.25 and 77,595.75 is: 103,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,935.25 : 77,595.75 = 77,595.75 : x
  2. Step 2: Convert to fraction form
    57,935.25/77,595.75 = 77,595.75/x
  3. Step 3: Cross multiply
    57,935.25x = 77,595.75 × 77,595.75
  4. Step 4: Simplify right side
    57,935.25x = 6,021,100,418.06
  5. Step 5: Solve for x
    x = 6,021,100,418.06/57,935.25
  6. Step 6: Final answer
    x = 103,928.10

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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.