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Finding the Third Proportional to 9,797.63 and 14,893.88

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Solution

The third proportional to 9,797.63 and 14,893.88 is: 22,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.63 : 14,893.88 = 14,893.88 : x
  2. Step 2: Convert to fraction form
    9,797.63/14,893.88 = 14,893.88/x
  3. Step 3: Cross multiply
    9,797.63x = 14,893.88 × 14,893.88
  4. Step 4: Simplify right side
    9,797.63x = 221,827,512.52
  5. Step 5: Solve for x
    x = 221,827,512.52/9,797.63
  6. Step 6: Final answer
    x = 22,640.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.