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Finding the Third Proportional to 7,303.50 and 14,923.50

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Solution

The third proportional to 7,303.50 and 14,923.50 is: 30,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.50 : 14,923.50 = 14,923.50 : x
  2. Step 2: Convert to fraction form
    7,303.50/14,923.50 = 14,923.50/x
  3. Step 3: Cross multiply
    7,303.50x = 14,923.50 × 14,923.50
  4. Step 4: Simplify right side
    7,303.50x = 222,710,852.25
  5. Step 5: Solve for x
    x = 222,710,852.25/7,303.50
  6. Step 6: Final answer
    x = 30,493.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.