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Finding the Third Proportional to 11,946 and 26,165

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Solution

The third proportional to 11,946 and 26,165 is: 57,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946 : 26,165 = 26,165 : x
  2. Step 2: Convert to fraction form
    11,946/26,165 = 26,165/x
  3. Step 3: Cross multiply
    11,946x = 26,165 × 26,165
  4. Step 4: Simplify right side
    11,946x = 684,607,225
  5. Step 5: Solve for x
    x = 684,607,225/11,946
  6. Step 6: Final answer
    x = 57,308.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.