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Finding the Third Proportional to 35,994 and 75,628

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Solution

The third proportional to 35,994 and 75,628 is: 158,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,994 : 75,628 = 75,628 : x
  2. Step 2: Convert to fraction form
    35,994/75,628 = 75,628/x
  3. Step 3: Cross multiply
    35,994x = 75,628 × 75,628
  4. Step 4: Simplify right side
    35,994x = 5,719,594,384
  5. Step 5: Solve for x
    x = 5,719,594,384/35,994
  6. Step 6: Final answer
    x = 158,904.11

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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.