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Finding the Third Proportional to 6,134 and 11,746

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Solution

The third proportional to 6,134 and 11,746 is: 22,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134 : 11,746 = 11,746 : x
  2. Step 2: Convert to fraction form
    6,134/11,746 = 11,746/x
  3. Step 3: Cross multiply
    6,134x = 11,746 × 11,746
  4. Step 4: Simplify right side
    6,134x = 137,968,516
  5. Step 5: Solve for x
    x = 137,968,516/6,134
  6. Step 6: Final answer
    x = 22,492.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.