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Finding the Third Proportional to 36,302 and 77,596

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Solution

The third proportional to 36,302 and 77,596 is: 165,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,302 : 77,596 = 77,596 : x
  2. Step 2: Convert to fraction form
    36,302/77,596 = 77,596/x
  3. Step 3: Cross multiply
    36,302x = 77,596 × 77,596
  4. Step 4: Simplify right side
    36,302x = 6,021,139,216
  5. Step 5: Solve for x
    x = 6,021,139,216/36,302
  6. Step 6: Final answer
    x = 165,862.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.