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Finding the Third Proportional to 8,220.23 and 12,432.87

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Solution

The third proportional to 8,220.23 and 12,432.87 is: 18,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.23 : 12,432.87 = 12,432.87 : x
  2. Step 2: Convert to fraction form
    8,220.23/12,432.87 = 12,432.87/x
  3. Step 3: Cross multiply
    8,220.23x = 12,432.87 × 12,432.87
  4. Step 4: Simplify right side
    8,220.23x = 154,576,186.50
  5. Step 5: Solve for x
    x = 154,576,186.50/8,220.23
  6. Step 6: Final answer
    x = 18,804.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.