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Finding the Third Proportional to 35,645 and 53,361

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Solution

The third proportional to 35,645 and 53,361 is: 79,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645 : 53,361 = 53,361 : x
  2. Step 2: Convert to fraction form
    35,645/53,361 = 53,361/x
  3. Step 3: Cross multiply
    35,645x = 53,361 × 53,361
  4. Step 4: Simplify right side
    35,645x = 2,847,396,321
  5. Step 5: Solve for x
    x = 2,847,396,321/35,645
  6. Step 6: Final answer
    x = 79,882.07

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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.