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Finding the Third Proportional to 32,103 and 63,564.75

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Solution

The third proportional to 32,103 and 63,564.75 is: 125,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103 : 63,564.75 = 63,564.75 : x
  2. Step 2: Convert to fraction form
    32,103/63,564.75 = 63,564.75/x
  3. Step 3: Cross multiply
    32,103x = 63,564.75 × 63,564.75
  4. Step 4: Simplify right side
    32,103x = 4,040,477,442.56
  5. Step 5: Solve for x
    x = 4,040,477,442.56/32,103
  6. Step 6: Final answer
    x = 125,859.81

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.