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Finding the Third Proportional to 9,746 and 15,119

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Solution

The third proportional to 9,746 and 15,119 is: 23,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746 : 15,119 = 15,119 : x
  2. Step 2: Convert to fraction form
    9,746/15,119 = 15,119/x
  3. Step 3: Cross multiply
    9,746x = 15,119 × 15,119
  4. Step 4: Simplify right side
    9,746x = 228,584,161
  5. Step 5: Solve for x
    x = 228,584,161/9,746
  6. Step 6: Final answer
    x = 23,454.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.