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Finding the Third Proportional to 15,323 and 22,696.50

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Solution

The third proportional to 15,323 and 22,696.50 is: 33,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323 : 22,696.50 = 22,696.50 : x
  2. Step 2: Convert to fraction form
    15,323/22,696.50 = 22,696.50/x
  3. Step 3: Cross multiply
    15,323x = 22,696.50 × 22,696.50
  4. Step 4: Simplify right side
    15,323x = 515,131,112.25
  5. Step 5: Solve for x
    x = 515,131,112.25/15,323
  6. Step 6: Final answer
    x = 33,618.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.