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Finding the Third Proportional to 35,717 and 53,152

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Solution

The third proportional to 35,717 and 53,152 is: 79,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,717 : 53,152 = 53,152 : x
  2. Step 2: Convert to fraction form
    35,717/53,152 = 53,152/x
  3. Step 3: Cross multiply
    35,717x = 53,152 × 53,152
  4. Step 4: Simplify right side
    35,717x = 2,825,135,104
  5. Step 5: Solve for x
    x = 2,825,135,104/35,717
  6. Step 6: Final answer
    x = 79,097.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.