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Finding the Third Proportional to 12,603.75 and 19,064.25

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Solution

The third proportional to 12,603.75 and 19,064.25 is: 28,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.75 : 19,064.25 = 19,064.25 : x
  2. Step 2: Convert to fraction form
    12,603.75/19,064.25 = 19,064.25/x
  3. Step 3: Cross multiply
    12,603.75x = 19,064.25 × 19,064.25
  4. Step 4: Simplify right side
    12,603.75x = 363,445,628.06
  5. Step 5: Solve for x
    x = 363,445,628.06/12,603.75
  6. Step 6: Final answer
    x = 28,836.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.