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Finding the Third Proportional to 35,542 and 53,588

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Solution

The third proportional to 35,542 and 53,588 is: 80,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542 : 53,588 = 53,588 : x
  2. Step 2: Convert to fraction form
    35,542/53,588 = 53,588/x
  3. Step 3: Cross multiply
    35,542x = 53,588 × 53,588
  4. Step 4: Simplify right side
    35,542x = 2,871,673,744
  5. Step 5: Solve for x
    x = 2,871,673,744/35,542
  6. Step 6: Final answer
    x = 80,796.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.