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Finding the Third Proportional to 15,200 and 23,723

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Solution

The third proportional to 15,200 and 23,723 is: 37,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200 : 23,723 = 23,723 : x
  2. Step 2: Convert to fraction form
    15,200/23,723 = 23,723/x
  3. Step 3: Cross multiply
    15,200x = 23,723 × 23,723
  4. Step 4: Simplify right side
    15,200x = 562,780,729
  5. Step 5: Solve for x
    x = 562,780,729/15,200
  6. Step 6: Final answer
    x = 37,025.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.