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Finding the Third Proportional to 29,973 and 65,235

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Solution

The third proportional to 29,973 and 65,235 is: 141,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,973 : 65,235 = 65,235 : x
  2. Step 2: Convert to fraction form
    29,973/65,235 = 65,235/x
  3. Step 3: Cross multiply
    29,973x = 65,235 × 65,235
  4. Step 4: Simplify right side
    29,973x = 4,255,605,225
  5. Step 5: Solve for x
    x = 4,255,605,225/29,973
  6. Step 6: Final answer
    x = 141,981.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.