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Finding the Third Proportional to 15,824 and 23,763

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Solution

The third proportional to 15,824 and 23,763 is: 35,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824 : 23,763 = 23,763 : x
  2. Step 2: Convert to fraction form
    15,824/23,763 = 23,763/x
  3. Step 3: Cross multiply
    15,824x = 23,763 × 23,763
  4. Step 4: Simplify right side
    15,824x = 564,680,169
  5. Step 5: Solve for x
    x = 564,680,169/15,824
  6. Step 6: Final answer
    x = 35,685.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.