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Finding the Third Proportional to 9,797.44 and 21,435.38

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Solution

The third proportional to 9,797.44 and 21,435.38 is: 46,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.44 : 21,435.38 = 21,435.38 : x
  2. Step 2: Convert to fraction form
    9,797.44/21,435.38 = 21,435.38/x
  3. Step 3: Cross multiply
    9,797.44x = 21,435.38 × 21,435.38
  4. Step 4: Simplify right side
    9,797.44x = 459,475,301.39
  5. Step 5: Solve for x
    x = 459,475,301.39/9,797.44
  6. Step 6: Final answer
    x = 46,897.50

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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.