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Finding the Third Proportional to 15,394 and 23,334

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Solution

The third proportional to 15,394 and 23,334 is: 35,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,394 : 23,334 = 23,334 : x
  2. Step 2: Convert to fraction form
    15,394/23,334 = 23,334/x
  3. Step 3: Cross multiply
    15,394x = 23,334 × 23,334
  4. Step 4: Simplify right side
    15,394x = 544,475,556
  5. Step 5: Solve for x
    x = 544,475,556/15,394
  6. Step 6: Final answer
    x = 35,369.34

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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.