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Finding the Third Proportional to 12,681 and 18,263.25

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Solution

The third proportional to 12,681 and 18,263.25 is: 26,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681 : 18,263.25 = 18,263.25 : x
  2. Step 2: Convert to fraction form
    12,681/18,263.25 = 18,263.25/x
  3. Step 3: Cross multiply
    12,681x = 18,263.25 × 18,263.25
  4. Step 4: Simplify right side
    12,681x = 333,546,300.56
  5. Step 5: Solve for x
    x = 333,546,300.56/12,681
  6. Step 6: Final answer
    x = 26,302.84

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.