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Finding the Third Proportional to 29,388 and 63,197

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Solution

The third proportional to 29,388 and 63,197 is: 135,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,388 : 63,197 = 63,197 : x
  2. Step 2: Convert to fraction form
    29,388/63,197 = 63,197/x
  3. Step 3: Cross multiply
    29,388x = 63,197 × 63,197
  4. Step 4: Simplify right side
    29,388x = 3,993,860,809
  5. Step 5: Solve for x
    x = 3,993,860,809/29,388
  6. Step 6: Final answer
    x = 135,901.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.