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Finding the Third Proportional to 13,126.50 and 18,767.25

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Solution

The third proportional to 13,126.50 and 18,767.25 is: 26,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126.50 : 18,767.25 = 18,767.25 : x
  2. Step 2: Convert to fraction form
    13,126.50/18,767.25 = 18,767.25/x
  3. Step 3: Cross multiply
    13,126.50x = 18,767.25 × 18,767.25
  4. Step 4: Simplify right side
    13,126.50x = 352,209,672.56
  5. Step 5: Solve for x
    x = 352,209,672.56/13,126.50
  6. Step 6: Final answer
    x = 26,831.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.