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Finding the Third Proportional to 35,762 and 76,273

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Solution

The third proportional to 35,762 and 76,273 is: 162,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762 : 76,273 = 76,273 : x
  2. Step 2: Convert to fraction form
    35,762/76,273 = 76,273/x
  3. Step 3: Cross multiply
    35,762x = 76,273 × 76,273
  4. Step 4: Simplify right side
    35,762x = 5,817,570,529
  5. Step 5: Solve for x
    x = 5,817,570,529/35,762
  6. Step 6: Final answer
    x = 162,674.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.