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Finding the Third Proportional to 15,935 and 23,338

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Solution

The third proportional to 15,935 and 23,338 is: 34,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,935 : 23,338 = 23,338 : x
  2. Step 2: Convert to fraction form
    15,935/23,338 = 23,338/x
  3. Step 3: Cross multiply
    15,935x = 23,338 × 23,338
  4. Step 4: Simplify right side
    15,935x = 544,662,244
  5. Step 5: Solve for x
    x = 544,662,244/15,935
  6. Step 6: Final answer
    x = 34,180.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.