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Finding the Third Proportional to 14,184.49 and 19,274.84

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Solution

The third proportional to 14,184.49 and 19,274.84 is: 26,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.49 : 19,274.84 = 19,274.84 : x
  2. Step 2: Convert to fraction form
    14,184.49/19,274.84 = 19,274.84/x
  3. Step 3: Cross multiply
    14,184.49x = 19,274.84 × 19,274.84
  4. Step 4: Simplify right side
    14,184.49x = 371,519,300.42
  5. Step 5: Solve for x
    x = 371,519,300.42/14,184.49
  6. Step 6: Final answer
    x = 26,191.94

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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.