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Finding the Third Proportional to 14,863.50 and 19,814.63

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Solution

The third proportional to 14,863.50 and 19,814.63 is: 26,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.50 : 19,814.63 = 19,814.63 : x
  2. Step 2: Convert to fraction form
    14,863.50/19,814.63 = 19,814.63/x
  3. Step 3: Cross multiply
    14,863.50x = 19,814.63 × 19,814.63
  4. Step 4: Simplify right side
    14,863.50x = 392,619,363.89
  5. Step 5: Solve for x
    x = 392,619,363.89/14,863.50
  6. Step 6: Final answer
    x = 26,415.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.