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Finding the Third Proportional to 32,961 and 52,405

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Solution

The third proportional to 32,961 and 52,405 is: 83,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961 : 52,405 = 52,405 : x
  2. Step 2: Convert to fraction form
    32,961/52,405 = 52,405/x
  3. Step 3: Cross multiply
    32,961x = 52,405 × 52,405
  4. Step 4: Simplify right side
    32,961x = 2,746,284,025
  5. Step 5: Solve for x
    x = 2,746,284,025/32,961
  6. Step 6: Final answer
    x = 83,319.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.