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Finding the Third Proportional to 49,788.42 and 89,427.80

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Solution

The third proportional to 49,788.42 and 89,427.80 is: 160,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,788.42 : 89,427.80 = 89,427.80 : x
  2. Step 2: Convert to fraction form
    49,788.42/89,427.80 = 89,427.80/x
  3. Step 3: Cross multiply
    49,788.42x = 89,427.80 × 89,427.80
  4. Step 4: Simplify right side
    49,788.42x = 7,997,330,853.92
  5. Step 5: Solve for x
    x = 7,997,330,853.92/49,788.42
  6. Step 6: Final answer
    x = 160,626.32

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.