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Finding the Third Proportional to 7,137.75 and 14,734.50

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Solution

The third proportional to 7,137.75 and 14,734.50 is: 30,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.75 : 14,734.50 = 14,734.50 : x
  2. Step 2: Convert to fraction form
    7,137.75/14,734.50 = 14,734.50/x
  3. Step 3: Cross multiply
    7,137.75x = 14,734.50 × 14,734.50
  4. Step 4: Simplify right side
    7,137.75x = 217,105,490.25
  5. Step 5: Solve for x
    x = 217,105,490.25/7,137.75
  6. Step 6: Final answer
    x = 30,416.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.