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Finding the Third Proportional to 11,736 and 26,095.75

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Solution

The third proportional to 11,736 and 26,095.75 is: 58,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736 : 26,095.75 = 26,095.75 : x
  2. Step 2: Convert to fraction form
    11,736/26,095.75 = 26,095.75/x
  3. Step 3: Cross multiply
    11,736x = 26,095.75 × 26,095.75
  4. Step 4: Simplify right side
    11,736x = 680,988,168.06
  5. Step 5: Solve for x
    x = 680,988,168.06/11,736
  6. Step 6: Final answer
    x = 58,025.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.