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Finding the Third Proportional to 7,903.50 and 12,685.50

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Solution

The third proportional to 7,903.50 and 12,685.50 is: 20,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.50 : 12,685.50 = 12,685.50 : x
  2. Step 2: Convert to fraction form
    7,903.50/12,685.50 = 12,685.50/x
  3. Step 3: Cross multiply
    7,903.50x = 12,685.50 × 12,685.50
  4. Step 4: Simplify right side
    7,903.50x = 160,921,910.25
  5. Step 5: Solve for x
    x = 160,921,910.25/7,903.50
  6. Step 6: Final answer
    x = 20,360.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.