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Finding the Third Proportional to 35,733 and 75,490

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Solution

The third proportional to 35,733 and 75,490 is: 159,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,733 : 75,490 = 75,490 : x
  2. Step 2: Convert to fraction form
    35,733/75,490 = 75,490/x
  3. Step 3: Cross multiply
    35,733x = 75,490 × 75,490
  4. Step 4: Simplify right side
    35,733x = 5,698,740,100
  5. Step 5: Solve for x
    x = 5,698,740,100/35,733
  6. Step 6: Final answer
    x = 159,481.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.