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Finding the Third Proportional to 12,235 and 23,497

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Solution

The third proportional to 12,235 and 23,497 is: 45,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235 : 23,497 = 23,497 : x
  2. Step 2: Convert to fraction form
    12,235/23,497 = 23,497/x
  3. Step 3: Cross multiply
    12,235x = 23,497 × 23,497
  4. Step 4: Simplify right side
    12,235x = 552,109,009
  5. Step 5: Solve for x
    x = 552,109,009/12,235
  6. Step 6: Final answer
    x = 45,125.38

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.