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Finding the Third Proportional to 4,602.94 and 9,806.63

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Solution

The third proportional to 4,602.94 and 9,806.63 is: 20,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.94 : 9,806.63 = 9,806.63 : x
  2. Step 2: Convert to fraction form
    4,602.94/9,806.63 = 9,806.63/x
  3. Step 3: Cross multiply
    4,602.94x = 9,806.63 × 9,806.63
  4. Step 4: Simplify right side
    4,602.94x = 96,169,893.89
  5. Step 5: Solve for x
    x = 96,169,893.89/4,602.94
  6. Step 6: Final answer
    x = 20,893.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.