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Finding the Third Proportional to 12,218 and 26,164

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Solution

The third proportional to 12,218 and 26,164 is: 56,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218 : 26,164 = 26,164 : x
  2. Step 2: Convert to fraction form
    12,218/26,164 = 26,164/x
  3. Step 3: Cross multiply
    12,218x = 26,164 × 26,164
  4. Step 4: Simplify right side
    12,218x = 684,554,896
  5. Step 5: Solve for x
    x = 684,554,896/12,218
  6. Step 6: Final answer
    x = 56,028.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.