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Finding the Third Proportional to 35,725 and 77,599

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Solution

The third proportional to 35,725 and 77,599 is: 168,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,725 : 77,599 = 77,599 : x
  2. Step 2: Convert to fraction form
    35,725/77,599 = 77,599/x
  3. Step 3: Cross multiply
    35,725x = 77,599 × 77,599
  4. Step 4: Simplify right side
    35,725x = 6,021,604,801
  5. Step 5: Solve for x
    x = 6,021,604,801/35,725
  6. Step 6: Final answer
    x = 168,554.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.