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Finding the Third Proportional to 14,018.88 and 30,762.41

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Solution

The third proportional to 14,018.88 and 30,762.41 is: 67,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,018.88 : 30,762.41 = 30,762.41 : x
  2. Step 2: Convert to fraction form
    14,018.88/30,762.41 = 30,762.41/x
  3. Step 3: Cross multiply
    14,018.88x = 30,762.41 × 30,762.41
  4. Step 4: Simplify right side
    14,018.88x = 946,325,856.09
  5. Step 5: Solve for x
    x = 946,325,856.09/14,018.88
  6. Step 6: Final answer
    x = 67,503.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.