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Finding the Third Proportional to 6,303.75 and 13,741.50

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Solution

The third proportional to 6,303.75 and 13,741.50 is: 29,955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.75 : 13,741.50 = 13,741.50 : x
  2. Step 2: Convert to fraction form
    6,303.75/13,741.50 = 13,741.50/x
  3. Step 3: Cross multiply
    6,303.75x = 13,741.50 × 13,741.50
  4. Step 4: Simplify right side
    6,303.75x = 188,828,822.25
  5. Step 5: Solve for x
    x = 188,828,822.25/6,303.75
  6. Step 6: Final answer
    x = 29,955.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.