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Finding the Third Proportional to 19,460.25 and 30,098.25

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Solution

The third proportional to 19,460.25 and 30,098.25 is: 46,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,460.25 : 30,098.25 = 30,098.25 : x
  2. Step 2: Convert to fraction form
    19,460.25/30,098.25 = 30,098.25/x
  3. Step 3: Cross multiply
    19,460.25x = 30,098.25 × 30,098.25
  4. Step 4: Simplify right side
    19,460.25x = 905,904,653.06
  5. Step 5: Solve for x
    x = 905,904,653.06/19,460.25
  6. Step 6: Final answer
    x = 46,551.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.