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Finding the Third Proportional to 14,364.84 and 19,305.84

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Solution

The third proportional to 14,364.84 and 19,305.84 is: 25,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.84 : 19,305.84 = 19,305.84 : x
  2. Step 2: Convert to fraction form
    14,364.84/19,305.84 = 19,305.84/x
  3. Step 3: Cross multiply
    14,364.84x = 19,305.84 × 19,305.84
  4. Step 4: Simplify right side
    14,364.84x = 372,715,602.90
  5. Step 5: Solve for x
    x = 372,715,602.90/14,364.84
  6. Step 6: Final answer
    x = 25,946.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.