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Finding the Third Proportional to 45,650 and 68,583

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Solution

The third proportional to 45,650 and 68,583 is: 103,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,650 : 68,583 = 68,583 : x
  2. Step 2: Convert to fraction form
    45,650/68,583 = 68,583/x
  3. Step 3: Cross multiply
    45,650x = 68,583 × 68,583
  4. Step 4: Simplify right side
    45,650x = 4,703,627,889
  5. Step 5: Solve for x
    x = 4,703,627,889/45,650
  6. Step 6: Final answer
    x = 103,036.76

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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.