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Finding the Third Proportional to 45,317 and 66,653

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Solution

The third proportional to 45,317 and 66,653 is: 98,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,317 : 66,653 = 66,653 : x
  2. Step 2: Convert to fraction form
    45,317/66,653 = 66,653/x
  3. Step 3: Cross multiply
    45,317x = 66,653 × 66,653
  4. Step 4: Simplify right side
    45,317x = 4,442,622,409
  5. Step 5: Solve for x
    x = 4,442,622,409/45,317
  6. Step 6: Final answer
    x = 98,034.34

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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.