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Finding the Third Proportional to 29,360 and 65,446

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Solution

The third proportional to 29,360 and 65,446 is: 145,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,360 : 65,446 = 65,446 : x
  2. Step 2: Convert to fraction form
    29,360/65,446 = 65,446/x
  3. Step 3: Cross multiply
    29,360x = 65,446 × 65,446
  4. Step 4: Simplify right side
    29,360x = 4,283,178,916
  5. Step 5: Solve for x
    x = 4,283,178,916/29,360
  6. Step 6: Final answer
    x = 145,884.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.