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Finding the Third Proportional to 9,738 and 15,596

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Solution

The third proportional to 9,738 and 15,596 is: 24,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 15,596 = 15,596 : x
  2. Step 2: Convert to fraction form
    9,738/15,596 = 15,596/x
  3. Step 3: Cross multiply
    9,738x = 15,596 × 15,596
  4. Step 4: Simplify right side
    9,738x = 243,235,216
  5. Step 5: Solve for x
    x = 243,235,216/9,738
  6. Step 6: Final answer
    x = 24,977.94

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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.