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Finding the Third Proportional to 15,346 and 23,698

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Solution

The third proportional to 15,346 and 23,698 is: 36,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,346 : 23,698 = 23,698 : x
  2. Step 2: Convert to fraction form
    15,346/23,698 = 23,698/x
  3. Step 3: Cross multiply
    15,346x = 23,698 × 23,698
  4. Step 4: Simplify right side
    15,346x = 561,595,204
  5. Step 5: Solve for x
    x = 561,595,204/15,346
  6. Step 6: Final answer
    x = 36,595.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.