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Finding the Third Proportional to 22,842 and 26,226

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Solution

The third proportional to 22,842 and 26,226 is: 30,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842 : 26,226 = 26,226 : x
  2. Step 2: Convert to fraction form
    22,842/26,226 = 26,226/x
  3. Step 3: Cross multiply
    22,842x = 26,226 × 26,226
  4. Step 4: Simplify right side
    22,842x = 687,803,076
  5. Step 5: Solve for x
    x = 687,803,076/22,842
  6. Step 6: Final answer
    x = 30,111.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.