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Finding the Third Proportional to 45,606 and 66,833

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Solution

The third proportional to 45,606 and 66,833 is: 97,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,606 : 66,833 = 66,833 : x
  2. Step 2: Convert to fraction form
    45,606/66,833 = 66,833/x
  3. Step 3: Cross multiply
    45,606x = 66,833 × 66,833
  4. Step 4: Simplify right side
    45,606x = 4,466,649,889
  5. Step 5: Solve for x
    x = 4,466,649,889/45,606
  6. Step 6: Final answer
    x = 97,939.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.