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Finding the Third Proportional to 14,353.88 and 30,784.22

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Solution

The third proportional to 14,353.88 and 30,784.22 is: 66,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.88 : 30,784.22 = 30,784.22 : x
  2. Step 2: Convert to fraction form
    14,353.88/30,784.22 = 30,784.22/x
  3. Step 3: Cross multiply
    14,353.88x = 30,784.22 × 30,784.22
  4. Step 4: Simplify right side
    14,353.88x = 947,668,124.05
  5. Step 5: Solve for x
    x = 947,668,124.05/14,353.88
  6. Step 6: Final answer
    x = 66,021.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.