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Finding the Third Proportional to 35,318 and 74,848

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Solution

The third proportional to 35,318 and 74,848 is: 158,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,318 : 74,848 = 74,848 : x
  2. Step 2: Convert to fraction form
    35,318/74,848 = 74,848/x
  3. Step 3: Cross multiply
    35,318x = 74,848 × 74,848
  4. Step 4: Simplify right side
    35,318x = 5,602,223,104
  5. Step 5: Solve for x
    x = 5,602,223,104/35,318
  6. Step 6: Final answer
    x = 158,622.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.