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Finding the Third Proportional to 6,872.63 and 14,838.75

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Solution

The third proportional to 6,872.63 and 14,838.75 is: 32,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.63 : 14,838.75 = 14,838.75 : x
  2. Step 2: Convert to fraction form
    6,872.63/14,838.75 = 14,838.75/x
  3. Step 3: Cross multiply
    6,872.63x = 14,838.75 × 14,838.75
  4. Step 4: Simplify right side
    6,872.63x = 220,188,501.56
  5. Step 5: Solve for x
    x = 220,188,501.56/6,872.63
  6. Step 6: Final answer
    x = 32,038.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.