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Finding the Third Proportional to 7,746 and 12,009

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Solution

The third proportional to 7,746 and 12,009 is: 18,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 12,009 = 12,009 : x
  2. Step 2: Convert to fraction form
    7,746/12,009 = 12,009/x
  3. Step 3: Cross multiply
    7,746x = 12,009 × 12,009
  4. Step 4: Simplify right side
    7,746x = 144,216,081
  5. Step 5: Solve for x
    x = 144,216,081/7,746
  6. Step 6: Final answer
    x = 18,618.14

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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.