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Finding the Third Proportional to 9,687.75 and 20,955

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Solution

The third proportional to 9,687.75 and 20,955 is: 45,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.75 : 20,955 = 20,955 : x
  2. Step 2: Convert to fraction form
    9,687.75/20,955 = 20,955/x
  3. Step 3: Cross multiply
    9,687.75x = 20,955 × 20,955
  4. Step 4: Simplify right side
    9,687.75x = 439,112,025
  5. Step 5: Solve for x
    x = 439,112,025/9,687.75
  6. Step 6: Final answer
    x = 45,326.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.