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Finding the Third Proportional to 45,867 and 64,590.94

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Solution

The third proportional to 45,867 and 64,590.94 is: 90,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,867 : 64,590.94 = 64,590.94 : x
  2. Step 2: Convert to fraction form
    45,867/64,590.94 = 64,590.94/x
  3. Step 3: Cross multiply
    45,867x = 64,590.94 × 64,590.94
  4. Step 4: Simplify right side
    45,867x = 4,171,989,207.13
  5. Step 5: Solve for x
    x = 4,171,989,207.13/45,867
  6. Step 6: Final answer
    x = 90,958.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.