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Finding the Third Proportional to 14,014.69 and 28,986.19

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Solution

The third proportional to 14,014.69 and 28,986.19 is: 59,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.69 : 28,986.19 = 28,986.19 : x
  2. Step 2: Convert to fraction form
    14,014.69/28,986.19 = 28,986.19/x
  3. Step 3: Cross multiply
    14,014.69x = 28,986.19 × 28,986.19
  4. Step 4: Simplify right side
    14,014.69x = 840,199,065.79
  5. Step 5: Solve for x
    x = 840,199,065.79/14,014.69
  6. Step 6: Final answer
    x = 59,951.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.