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Finding the Third Proportional to 12,420 and 18,461.25

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Solution

The third proportional to 12,420 and 18,461.25 is: 27,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420 : 18,461.25 = 18,461.25 : x
  2. Step 2: Convert to fraction form
    12,420/18,461.25 = 18,461.25/x
  3. Step 3: Cross multiply
    12,420x = 18,461.25 × 18,461.25
  4. Step 4: Simplify right side
    12,420x = 340,817,751.56
  5. Step 5: Solve for x
    x = 340,817,751.56/12,420
  6. Step 6: Final answer
    x = 27,441.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.