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Finding the Third Proportional to 7,099.50 and 14,934.50

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Solution

The third proportional to 7,099.50 and 14,934.50 is: 31,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.50 : 14,934.50 = 14,934.50 : x
  2. Step 2: Convert to fraction form
    7,099.50/14,934.50 = 14,934.50/x
  3. Step 3: Cross multiply
    7,099.50x = 14,934.50 × 14,934.50
  4. Step 4: Simplify right side
    7,099.50x = 223,039,290.25
  5. Step 5: Solve for x
    x = 223,039,290.25/7,099.50
  6. Step 6: Final answer
    x = 31,416.20

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.