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Finding the Third Proportional to 19,202.25 and 29,802.38

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Solution

The third proportional to 19,202.25 and 29,802.38 is: 46,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,202.25 : 29,802.38 = 29,802.38 : x
  2. Step 2: Convert to fraction form
    19,202.25/29,802.38 = 29,802.38/x
  3. Step 3: Cross multiply
    19,202.25x = 29,802.38 × 29,802.38
  4. Step 4: Simplify right side
    19,202.25x = 888,181,555.64
  5. Step 5: Solve for x
    x = 888,181,555.64/19,202.25
  6. Step 6: Final answer
    x = 46,254.04

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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.