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Finding the Third Proportional to 35,578 and 53,461

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Solution

The third proportional to 35,578 and 53,461 is: 80,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578 : 53,461 = 53,461 : x
  2. Step 2: Convert to fraction form
    35,578/53,461 = 53,461/x
  3. Step 3: Cross multiply
    35,578x = 53,461 × 53,461
  4. Step 4: Simplify right side
    35,578x = 2,858,078,521
  5. Step 5: Solve for x
    x = 2,858,078,521/35,578
  6. Step 6: Final answer
    x = 80,332.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.