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Finding the Third Proportional to 14,665.50 and 19,924.88

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Solution

The third proportional to 14,665.50 and 19,924.88 is: 27,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.50 : 19,924.88 = 19,924.88 : x
  2. Step 2: Convert to fraction form
    14,665.50/19,924.88 = 19,924.88/x
  3. Step 3: Cross multiply
    14,665.50x = 19,924.88 × 19,924.88
  4. Step 4: Simplify right side
    14,665.50x = 397,000,643.77
  5. Step 5: Solve for x
    x = 397,000,643.77/14,665.50
  6. Step 6: Final answer
    x = 27,070.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.