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Finding the Third Proportional to 45,693 and 68,538

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Solution

The third proportional to 45,693 and 68,538 is: 102,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,693 : 68,538 = 68,538 : x
  2. Step 2: Convert to fraction form
    45,693/68,538 = 68,538/x
  3. Step 3: Cross multiply
    45,693x = 68,538 × 68,538
  4. Step 4: Simplify right side
    45,693x = 4,697,457,444
  5. Step 5: Solve for x
    x = 4,697,457,444/45,693
  6. Step 6: Final answer
    x = 102,804.75

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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.