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Finding the Third Proportional to 35,046 and 75,924

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Solution

The third proportional to 35,046 and 75,924 is: 164,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,046 : 75,924 = 75,924 : x
  2. Step 2: Convert to fraction form
    35,046/75,924 = 75,924/x
  3. Step 3: Cross multiply
    35,046x = 75,924 × 75,924
  4. Step 4: Simplify right side
    35,046x = 5,764,453,776
  5. Step 5: Solve for x
    x = 5,764,453,776/35,046
  6. Step 6: Final answer
    x = 164,482.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.