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Finding the Third Proportional to 39,943 and 53,002

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Solution

The third proportional to 39,943 and 53,002 is: 70,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,943 : 53,002 = 53,002 : x
  2. Step 2: Convert to fraction form
    39,943/53,002 = 53,002/x
  3. Step 3: Cross multiply
    39,943x = 53,002 × 53,002
  4. Step 4: Simplify right side
    39,943x = 2,809,212,004
  5. Step 5: Solve for x
    x = 2,809,212,004/39,943
  6. Step 6: Final answer
    x = 70,330.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.