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Finding the Third Proportional to 29,238 and 64,308

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Solution

The third proportional to 29,238 and 64,308 is: 141,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238 : 64,308 = 64,308 : x
  2. Step 2: Convert to fraction form
    29,238/64,308 = 64,308/x
  3. Step 3: Cross multiply
    29,238x = 64,308 × 64,308
  4. Step 4: Simplify right side
    29,238x = 4,135,518,864
  5. Step 5: Solve for x
    x = 4,135,518,864/29,238
  6. Step 6: Final answer
    x = 141,443.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.