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Finding the Third Proportional to 31,797 and 68,553

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Solution

The third proportional to 31,797 and 68,553 is: 147,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797 : 68,553 = 68,553 : x
  2. Step 2: Convert to fraction form
    31,797/68,553 = 68,553/x
  3. Step 3: Cross multiply
    31,797x = 68,553 × 68,553
  4. Step 4: Simplify right side
    31,797x = 4,699,513,809
  5. Step 5: Solve for x
    x = 4,699,513,809/31,797
  6. Step 6: Final answer
    x = 147,797.40

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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.