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Finding the Third Proportional to 35,716 and 75,408

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Solution

The third proportional to 35,716 and 75,408 is: 159,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,716 : 75,408 = 75,408 : x
  2. Step 2: Convert to fraction form
    35,716/75,408 = 75,408/x
  3. Step 3: Cross multiply
    35,716x = 75,408 × 75,408
  4. Step 4: Simplify right side
    35,716x = 5,686,366,464
  5. Step 5: Solve for x
    x = 5,686,366,464/35,716
  6. Step 6: Final answer
    x = 159,210.62

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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.