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Finding the Third Proportional to 35,397 and 53,369

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Solution

The third proportional to 35,397 and 53,369 is: 80,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,397 : 53,369 = 53,369 : x
  2. Step 2: Convert to fraction form
    35,397/53,369 = 53,369/x
  3. Step 3: Cross multiply
    35,397x = 53,369 × 53,369
  4. Step 4: Simplify right side
    35,397x = 2,848,250,161
  5. Step 5: Solve for x
    x = 2,848,250,161/35,397
  6. Step 6: Final answer
    x = 80,465.86

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