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Finding the Third Proportional to 15,256 and 23,180

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Solution

The third proportional to 15,256 and 23,180 is: 35,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,256 : 23,180 = 23,180 : x
  2. Step 2: Convert to fraction form
    15,256/23,180 = 23,180/x
  3. Step 3: Cross multiply
    15,256x = 23,180 × 23,180
  4. Step 4: Simplify right side
    15,256x = 537,312,400
  5. Step 5: Solve for x
    x = 537,312,400/15,256
  6. Step 6: Final answer
    x = 35,219.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.