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Finding the Third Proportional to 4,736.04 and 6,895.83

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Solution

The third proportional to 4,736.04 and 6,895.83 is: 10,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.04 : 6,895.83 = 6,895.83 : x
  2. Step 2: Convert to fraction form
    4,736.04/6,895.83 = 6,895.83/x
  3. Step 3: Cross multiply
    4,736.04x = 6,895.83 × 6,895.83
  4. Step 4: Simplify right side
    4,736.04x = 47,552,445.53
  5. Step 5: Solve for x
    x = 47,552,445.53/4,736.04
  6. Step 6: Final answer
    x = 10,040.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.