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Finding the Third Proportional to 35,945 and 75,616

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Solution

The third proportional to 35,945 and 75,616 is: 159,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,945 : 75,616 = 75,616 : x
  2. Step 2: Convert to fraction form
    35,945/75,616 = 75,616/x
  3. Step 3: Cross multiply
    35,945x = 75,616 × 75,616
  4. Step 4: Simplify right side
    35,945x = 5,717,779,456
  5. Step 5: Solve for x
    x = 5,717,779,456/35,945
  6. Step 6: Final answer
    x = 159,070.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.