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Finding the Third Proportional to 35,050 and 53,598

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Solution

The third proportional to 35,050 and 53,598 is: 81,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,050 : 53,598 = 53,598 : x
  2. Step 2: Convert to fraction form
    35,050/53,598 = 53,598/x
  3. Step 3: Cross multiply
    35,050x = 53,598 × 53,598
  4. Step 4: Simplify right side
    35,050x = 2,872,745,604
  5. Step 5: Solve for x
    x = 2,872,745,604/35,050
  6. Step 6: Final answer
    x = 81,961.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.