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Finding the Third Proportional to 45,268 and 66,536

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Solution

The third proportional to 45,268 and 66,536 is: 97,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,268 : 66,536 = 66,536 : x
  2. Step 2: Convert to fraction form
    45,268/66,536 = 66,536/x
  3. Step 3: Cross multiply
    45,268x = 66,536 × 66,536
  4. Step 4: Simplify right side
    45,268x = 4,427,039,296
  5. Step 5: Solve for x
    x = 4,427,039,296/45,268
  6. Step 6: Final answer
    x = 97,796.22

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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.