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Finding the Third Proportional to 9,042.26 and 19,835.35

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Solution

The third proportional to 9,042.26 and 19,835.35 is: 43,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.26 : 19,835.35 = 19,835.35 : x
  2. Step 2: Convert to fraction form
    9,042.26/19,835.35 = 19,835.35/x
  3. Step 3: Cross multiply
    9,042.26x = 19,835.35 × 19,835.35
  4. Step 4: Simplify right side
    9,042.26x = 393,441,094.13
  5. Step 5: Solve for x
    x = 393,441,094.13/9,042.26
  6. Step 6: Final answer
    x = 43,511.38

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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.