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Finding the Third Proportional to 14,784.19 and 34,190.44

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Solution

The third proportional to 14,784.19 and 34,190.44 is: 79,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.19 : 34,190.44 = 34,190.44 : x
  2. Step 2: Convert to fraction form
    14,784.19/34,190.44 = 34,190.44/x
  3. Step 3: Cross multiply
    14,784.19x = 34,190.44 × 34,190.44
  4. Step 4: Simplify right side
    14,784.19x = 1,168,986,016.44
  5. Step 5: Solve for x
    x = 1,168,986,016.44/14,784.19
  6. Step 6: Final answer
    x = 79,070.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.