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Finding the Third Proportional to 6,276 and 9,723.75

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Solution

The third proportional to 6,276 and 9,723.75 is: 15,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276 : 9,723.75 = 9,723.75 : x
  2. Step 2: Convert to fraction form
    6,276/9,723.75 = 9,723.75/x
  3. Step 3: Cross multiply
    6,276x = 9,723.75 × 9,723.75
  4. Step 4: Simplify right side
    6,276x = 94,551,314.06
  5. Step 5: Solve for x
    x = 94,551,314.06/6,276
  6. Step 6: Final answer
    x = 15,065.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.