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Finding the Third Proportional to 32,661 and 45,852.75

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Solution

The third proportional to 32,661 and 45,852.75 is: 64,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,661 : 45,852.75 = 45,852.75 : x
  2. Step 2: Convert to fraction form
    32,661/45,852.75 = 45,852.75/x
  3. Step 3: Cross multiply
    32,661x = 45,852.75 × 45,852.75
  4. Step 4: Simplify right side
    32,661x = 2,102,474,682.56
  5. Step 5: Solve for x
    x = 2,102,474,682.56/32,661
  6. Step 6: Final answer
    x = 64,372.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.