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Finding the Third Proportional to 34,928.93 and 77,762.18

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Solution

The third proportional to 34,928.93 and 77,762.18 is: 173,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,928.93 : 77,762.18 = 77,762.18 : x
  2. Step 2: Convert to fraction form
    34,928.93/77,762.18 = 77,762.18/x
  3. Step 3: Cross multiply
    34,928.93x = 77,762.18 × 77,762.18
  4. Step 4: Simplify right side
    34,928.93x = 6,046,956,589.75
  5. Step 5: Solve for x
    x = 6,046,956,589.75/34,928.93
  6. Step 6: Final answer
    x = 173,121.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.