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Finding the Third Proportional to 6,546 and 9,726.75

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Solution

The third proportional to 6,546 and 9,726.75 is: 14,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546 : 9,726.75 = 9,726.75 : x
  2. Step 2: Convert to fraction form
    6,546/9,726.75 = 9,726.75/x
  3. Step 3: Cross multiply
    6,546x = 9,726.75 × 9,726.75
  4. Step 4: Simplify right side
    6,546x = 94,609,665.56
  5. Step 5: Solve for x
    x = 94,609,665.56/6,546
  6. Step 6: Final answer
    x = 14,453.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.