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Finding the Third Proportional to 15,235 and 23,878

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Solution

The third proportional to 15,235 and 23,878 is: 37,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235 : 23,878 = 23,878 : x
  2. Step 2: Convert to fraction form
    15,235/23,878 = 23,878/x
  3. Step 3: Cross multiply
    15,235x = 23,878 × 23,878
  4. Step 4: Simplify right side
    15,235x = 570,158,884
  5. Step 5: Solve for x
    x = 570,158,884/15,235
  6. Step 6: Final answer
    x = 37,424.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.