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Finding the Third Proportional to 9,790 and 15,334

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Solution

The third proportional to 9,790 and 15,334 is: 24,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790 : 15,334 = 15,334 : x
  2. Step 2: Convert to fraction form
    9,790/15,334 = 15,334/x
  3. Step 3: Cross multiply
    9,790x = 15,334 × 15,334
  4. Step 4: Simplify right side
    9,790x = 235,131,556
  5. Step 5: Solve for x
    x = 235,131,556/9,790
  6. Step 6: Final answer
    x = 24,017.52

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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.