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Finding the Third Proportional to 9,775.69 and 21,297.38

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Solution

The third proportional to 9,775.69 and 21,297.38 is: 46,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.69 : 21,297.38 = 21,297.38 : x
  2. Step 2: Convert to fraction form
    9,775.69/21,297.38 = 21,297.38/x
  3. Step 3: Cross multiply
    9,775.69x = 21,297.38 × 21,297.38
  4. Step 4: Simplify right side
    9,775.69x = 453,578,181.89
  5. Step 5: Solve for x
    x = 453,578,181.89/9,775.69
  6. Step 6: Final answer
    x = 46,398.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.