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Finding the Third Proportional to 32,340 and 69,405

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Solution

The third proportional to 32,340 and 69,405 is: 148,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,340 : 69,405 = 69,405 : x
  2. Step 2: Convert to fraction form
    32,340/69,405 = 69,405/x
  3. Step 3: Cross multiply
    32,340x = 69,405 × 69,405
  4. Step 4: Simplify right side
    32,340x = 4,817,054,025
  5. Step 5: Solve for x
    x = 4,817,054,025/32,340
  6. Step 6: Final answer
    x = 148,950.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.