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Finding the Third Proportional to 32,210 and 45,615

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Solution

The third proportional to 32,210 and 45,615 is: 64,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210 : 45,615 = 45,615 : x
  2. Step 2: Convert to fraction form
    32,210/45,615 = 45,615/x
  3. Step 3: Cross multiply
    32,210x = 45,615 × 45,615
  4. Step 4: Simplify right side
    32,210x = 2,080,728,225
  5. Step 5: Solve for x
    x = 2,080,728,225/32,210
  6. Step 6: Final answer
    x = 64,598.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.