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Finding the Third Proportional to 9,684.56 and 21,216.94

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Solution

The third proportional to 9,684.56 and 21,216.94 is: 46,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.56 : 21,216.94 = 21,216.94 : x
  2. Step 2: Convert to fraction form
    9,684.56/21,216.94 = 21,216.94/x
  3. Step 3: Cross multiply
    9,684.56x = 21,216.94 × 21,216.94
  4. Step 4: Simplify right side
    9,684.56x = 450,158,436.88
  5. Step 5: Solve for x
    x = 450,158,436.88/9,684.56
  6. Step 6: Final answer
    x = 46,482.06

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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.