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Finding the Third Proportional to 49,652 and 69,455

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Solution

The third proportional to 49,652 and 69,455 is: 97,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,652 : 69,455 = 69,455 : x
  2. Step 2: Convert to fraction form
    49,652/69,455 = 69,455/x
  3. Step 3: Cross multiply
    49,652x = 69,455 × 69,455
  4. Step 4: Simplify right side
    49,652x = 4,823,997,025
  5. Step 5: Solve for x
    x = 4,823,997,025/49,652
  6. Step 6: Final answer
    x = 97,156.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.