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Finding the Third Proportional to 22,596 and 46,764

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Solution

The third proportional to 22,596 and 46,764 is: 96,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596 : 46,764 = 46,764 : x
  2. Step 2: Convert to fraction form
    22,596/46,764 = 46,764/x
  3. Step 3: Cross multiply
    22,596x = 46,764 × 46,764
  4. Step 4: Simplify right side
    22,596x = 2,186,871,696
  5. Step 5: Solve for x
    x = 2,186,871,696/22,596
  6. Step 6: Final answer
    x = 96,781.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.