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Finding the Third Proportional to 9,249.19 and 19,977.26

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Solution

The third proportional to 9,249.19 and 19,977.26 is: 43,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.19 : 19,977.26 = 19,977.26 : x
  2. Step 2: Convert to fraction form
    9,249.19/19,977.26 = 19,977.26/x
  3. Step 3: Cross multiply
    9,249.19x = 19,977.26 × 19,977.26
  4. Step 4: Simplify right side
    9,249.19x = 399,090,829.71
  5. Step 5: Solve for x
    x = 399,090,829.71/9,249.19
  6. Step 6: Final answer
    x = 43,148.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.