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Finding the Third Proportional to 35,324 and 74,860

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Solution

The third proportional to 35,324 and 74,860 is: 158,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,324 : 74,860 = 74,860 : x
  2. Step 2: Convert to fraction form
    35,324/74,860 = 74,860/x
  3. Step 3: Cross multiply
    35,324x = 74,860 × 74,860
  4. Step 4: Simplify right side
    35,324x = 5,604,019,600
  5. Step 5: Solve for x
    x = 5,604,019,600/35,324
  6. Step 6: Final answer
    x = 158,646.23

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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.