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Finding the Third Proportional to 4,185 and 6,483.75

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Solution

The third proportional to 4,185 and 6,483.75 is: 10,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185 : 6,483.75 = 6,483.75 : x
  2. Step 2: Convert to fraction form
    4,185/6,483.75 = 6,483.75/x
  3. Step 3: Cross multiply
    4,185x = 6,483.75 × 6,483.75
  4. Step 4: Simplify right side
    4,185x = 42,039,014.06
  5. Step 5: Solve for x
    x = 42,039,014.06/4,185
  6. Step 6: Final answer
    x = 10,045.16

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