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Finding the Third Proportional to 23,426 and 37,226

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Solution

The third proportional to 23,426 and 37,226 is: 59,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,426 : 37,226 = 37,226 : x
  2. Step 2: Convert to fraction form
    23,426/37,226 = 37,226/x
  3. Step 3: Cross multiply
    23,426x = 37,226 × 37,226
  4. Step 4: Simplify right side
    23,426x = 1,385,775,076
  5. Step 5: Solve for x
    x = 1,385,775,076/23,426
  6. Step 6: Final answer
    x = 59,155.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.