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Finding the Third Proportional to 29,335 and 63,232

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Solution

The third proportional to 29,335 and 63,232 is: 136,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,335 : 63,232 = 63,232 : x
  2. Step 2: Convert to fraction form
    29,335/63,232 = 63,232/x
  3. Step 3: Cross multiply
    29,335x = 63,232 × 63,232
  4. Step 4: Simplify right side
    29,335x = 3,998,285,824
  5. Step 5: Solve for x
    x = 3,998,285,824/29,335
  6. Step 6: Final answer
    x = 136,297.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.