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Finding the Third Proportional to 35,430 and 74,858

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Solution

The third proportional to 35,430 and 74,858 is: 158,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,430 : 74,858 = 74,858 : x
  2. Step 2: Convert to fraction form
    35,430/74,858 = 74,858/x
  3. Step 3: Cross multiply
    35,430x = 74,858 × 74,858
  4. Step 4: Simplify right side
    35,430x = 5,603,720,164
  5. Step 5: Solve for x
    x = 5,603,720,164/35,430
  6. Step 6: Final answer
    x = 158,163.14

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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.