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Finding the Third Proportional to 9,636.47 and 21,118.22

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Solution

The third proportional to 9,636.47 and 21,118.22 is: 46,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.47 : 21,118.22 = 21,118.22 : x
  2. Step 2: Convert to fraction form
    9,636.47/21,118.22 = 21,118.22/x
  3. Step 3: Cross multiply
    9,636.47x = 21,118.22 × 21,118.22
  4. Step 4: Simplify right side
    9,636.47x = 445,979,163.17
  5. Step 5: Solve for x
    x = 445,979,163.17/9,636.47
  6. Step 6: Final answer
    x = 46,280.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.