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Finding the Third Proportional to 32,189.63 and 66,606.75

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Solution

The third proportional to 32,189.63 and 66,606.75 is: 137,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.63 : 66,606.75 = 66,606.75 : x
  2. Step 2: Convert to fraction form
    32,189.63/66,606.75 = 66,606.75/x
  3. Step 3: Cross multiply
    32,189.63x = 66,606.75 × 66,606.75
  4. Step 4: Simplify right side
    32,189.63x = 4,436,459,145.56
  5. Step 5: Solve for x
    x = 4,436,459,145.56/32,189.63
  6. Step 6: Final answer
    x = 137,822.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.