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Finding the Third Proportional to 35,647 and 53,364

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Solution

The third proportional to 35,647 and 53,364 is: 79,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647 : 53,364 = 53,364 : x
  2. Step 2: Convert to fraction form
    35,647/53,364 = 53,364/x
  3. Step 3: Cross multiply
    35,647x = 53,364 × 53,364
  4. Step 4: Simplify right side
    35,647x = 2,847,716,496
  5. Step 5: Solve for x
    x = 2,847,716,496/35,647
  6. Step 6: Final answer
    x = 79,886.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.