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Finding the Third Proportional to 11,365 and 23,297

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Solution

The third proportional to 11,365 and 23,297 is: 47,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365 : 23,297 = 23,297 : x
  2. Step 2: Convert to fraction form
    11,365/23,297 = 23,297/x
  3. Step 3: Cross multiply
    11,365x = 23,297 × 23,297
  4. Step 4: Simplify right side
    11,365x = 542,750,209
  5. Step 5: Solve for x
    x = 542,750,209/11,365
  6. Step 6: Final answer
    x = 47,756.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.