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Finding the Third Proportional to 32,145 and 69,489

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Solution

The third proportional to 32,145 and 69,489 is: 150,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145 : 69,489 = 69,489 : x
  2. Step 2: Convert to fraction form
    32,145/69,489 = 69,489/x
  3. Step 3: Cross multiply
    32,145x = 69,489 × 69,489
  4. Step 4: Simplify right side
    32,145x = 4,828,721,121
  5. Step 5: Solve for x
    x = 4,828,721,121/32,145
  6. Step 6: Final answer
    x = 150,216.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.