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Finding the Third Proportional to 7,903.50 and 16,900.50

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Solution

The third proportional to 7,903.50 and 16,900.50 is: 36,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.50 : 16,900.50 = 16,900.50 : x
  2. Step 2: Convert to fraction form
    7,903.50/16,900.50 = 16,900.50/x
  3. Step 3: Cross multiply
    7,903.50x = 16,900.50 × 16,900.50
  4. Step 4: Simplify right side
    7,903.50x = 285,626,900.25
  5. Step 5: Solve for x
    x = 285,626,900.25/7,903.50
  6. Step 6: Final answer
    x = 36,139.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.