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Finding the Third Proportional to 9,795 and 15,639

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Solution

The third proportional to 9,795 and 15,639 is: 24,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795 : 15,639 = 15,639 : x
  2. Step 2: Convert to fraction form
    9,795/15,639 = 15,639/x
  3. Step 3: Cross multiply
    9,795x = 15,639 × 15,639
  4. Step 4: Simplify right side
    9,795x = 244,578,321
  5. Step 5: Solve for x
    x = 244,578,321/9,795
  6. Step 6: Final answer
    x = 24,969.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.