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Finding the Third Proportional to 14,088.94 and 18,977.63

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Solution

The third proportional to 14,088.94 and 18,977.63 is: 25,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,088.94 : 18,977.63 = 18,977.63 : x
  2. Step 2: Convert to fraction form
    14,088.94/18,977.63 = 18,977.63/x
  3. Step 3: Cross multiply
    14,088.94x = 18,977.63 × 18,977.63
  4. Step 4: Simplify right side
    14,088.94x = 360,150,250.64
  5. Step 5: Solve for x
    x = 360,150,250.64/14,088.94
  6. Step 6: Final answer
    x = 25,562.63

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.