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Finding the Third Proportional to 35,338 and 77,660

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Solution

The third proportional to 35,338 and 77,660 is: 170,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338 : 77,660 = 77,660 : x
  2. Step 2: Convert to fraction form
    35,338/77,660 = 77,660/x
  3. Step 3: Cross multiply
    35,338x = 77,660 × 77,660
  4. Step 4: Simplify right side
    35,338x = 6,031,075,600
  5. Step 5: Solve for x
    x = 6,031,075,600/35,338
  6. Step 6: Final answer
    x = 170,668.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.