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Finding the Third Proportional to 23,006.25 and 36,696.38

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Solution

The third proportional to 23,006.25 and 36,696.38 is: 58,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.25 : 36,696.38 = 36,696.38 : x
  2. Step 2: Convert to fraction form
    23,006.25/36,696.38 = 36,696.38/x
  3. Step 3: Cross multiply
    23,006.25x = 36,696.38 × 36,696.38
  4. Step 4: Simplify right side
    23,006.25x = 1,346,623,938.14
  5. Step 5: Solve for x
    x = 1,346,623,938.14/23,006.25
  6. Step 6: Final answer
    x = 58,532.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.