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Finding the Third Proportional to 29,754 and 65,232

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Solution

The third proportional to 29,754 and 65,232 is: 143,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754 : 65,232 = 65,232 : x
  2. Step 2: Convert to fraction form
    29,754/65,232 = 65,232/x
  3. Step 3: Cross multiply
    29,754x = 65,232 × 65,232
  4. Step 4: Simplify right side
    29,754x = 4,255,213,824
  5. Step 5: Solve for x
    x = 4,255,213,824/29,754
  6. Step 6: Final answer
    x = 143,013.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.