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Finding the Third Proportional to 14,539.50 and 19,713.38

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Solution

The third proportional to 14,539.50 and 19,713.38 is: 26,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.50 : 19,713.38 = 19,713.38 : x
  2. Step 2: Convert to fraction form
    14,539.50/19,713.38 = 19,713.38/x
  3. Step 3: Cross multiply
    14,539.50x = 19,713.38 × 19,713.38
  4. Step 4: Simplify right side
    14,539.50x = 388,617,153.89
  5. Step 5: Solve for x
    x = 388,617,153.89/14,539.50
  6. Step 6: Final answer
    x = 26,728.37

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Why These Related Problems?

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