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Finding the Third Proportional to 18,258 and 29,395

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Solution

The third proportional to 18,258 and 29,395 is: 47,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,258 : 29,395 = 29,395 : x
  2. Step 2: Convert to fraction form
    18,258/29,395 = 29,395/x
  3. Step 3: Cross multiply
    18,258x = 29,395 × 29,395
  4. Step 4: Simplify right side
    18,258x = 864,066,025
  5. Step 5: Solve for x
    x = 864,066,025/18,258
  6. Step 6: Final answer
    x = 47,325.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.