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Finding the Third Proportional to 10,325.25 and 13,637.25

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Solution

The third proportional to 10,325.25 and 13,637.25 is: 18,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.25 : 13,637.25 = 13,637.25 : x
  2. Step 2: Convert to fraction form
    10,325.25/13,637.25 = 13,637.25/x
  3. Step 3: Cross multiply
    10,325.25x = 13,637.25 × 13,637.25
  4. Step 4: Simplify right side
    10,325.25x = 185,974,587.56
  5. Step 5: Solve for x
    x = 185,974,587.56/10,325.25
  6. Step 6: Final answer
    x = 18,011.63

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.