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Finding the Third Proportional to 35,014 and 53,817

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Solution

The third proportional to 35,014 and 53,817 is: 82,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,014 : 53,817 = 53,817 : x
  2. Step 2: Convert to fraction form
    35,014/53,817 = 53,817/x
  3. Step 3: Cross multiply
    35,014x = 53,817 × 53,817
  4. Step 4: Simplify right side
    35,014x = 2,896,269,489
  5. Step 5: Solve for x
    x = 2,896,269,489/35,014
  6. Step 6: Final answer
    x = 82,717.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.