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Finding the Third Proportional to 14,622.75 and 20,840.63

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Solution

The third proportional to 14,622.75 and 20,840.63 is: 29,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,622.75 : 20,840.63 = 20,840.63 : x
  2. Step 2: Convert to fraction form
    14,622.75/20,840.63 = 20,840.63/x
  3. Step 3: Cross multiply
    14,622.75x = 20,840.63 × 20,840.63
  4. Step 4: Simplify right side
    14,622.75x = 434,331,650.39
  5. Step 5: Solve for x
    x = 434,331,650.39/14,622.75
  6. Step 6: Final answer
    x = 29,702.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.