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Finding the Third Proportional to 35,399 and 53,371

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Solution

The third proportional to 35,399 and 53,371 is: 80,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,399 : 53,371 = 53,371 : x
  2. Step 2: Convert to fraction form
    35,399/53,371 = 53,371/x
  3. Step 3: Cross multiply
    35,399x = 53,371 × 53,371
  4. Step 4: Simplify right side
    35,399x = 2,848,463,641
  5. Step 5: Solve for x
    x = 2,848,463,641/35,399
  6. Step 6: Final answer
    x = 80,467.35

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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.