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Finding the Third Proportional to 13,196.25 and 19,442.25

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Solution

The third proportional to 13,196.25 and 19,442.25 is: 28,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.25 : 19,442.25 = 19,442.25 : x
  2. Step 2: Convert to fraction form
    13,196.25/19,442.25 = 19,442.25/x
  3. Step 3: Cross multiply
    13,196.25x = 19,442.25 × 19,442.25
  4. Step 4: Simplify right side
    13,196.25x = 378,001,085.06
  5. Step 5: Solve for x
    x = 378,001,085.06/13,196.25
  6. Step 6: Final answer
    x = 28,644.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.