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Finding the Third Proportional to 35,525 and 77,674

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Solution

The third proportional to 35,525 and 77,674 is: 169,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,525 : 77,674 = 77,674 : x
  2. Step 2: Convert to fraction form
    35,525/77,674 = 77,674/x
  3. Step 3: Cross multiply
    35,525x = 77,674 × 77,674
  4. Step 4: Simplify right side
    35,525x = 6,033,250,276
  5. Step 5: Solve for x
    x = 6,033,250,276/35,525
  6. Step 6: Final answer
    x = 169,831.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.