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Finding the Third Proportional to 35,319 and 74,850

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Solution

The third proportional to 35,319 and 74,850 is: 158,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,319 : 74,850 = 74,850 : x
  2. Step 2: Convert to fraction form
    35,319/74,850 = 74,850/x
  3. Step 3: Cross multiply
    35,319x = 74,850 × 74,850
  4. Step 4: Simplify right side
    35,319x = 5,602,522,500
  5. Step 5: Solve for x
    x = 5,602,522,500/35,319
  6. Step 6: Final answer
    x = 158,626.31

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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.