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Finding the Third Proportional to 12,444.26 and 19,264.39

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Solution

The third proportional to 12,444.26 and 19,264.39 is: 29,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.26 : 19,264.39 = 19,264.39 : x
  2. Step 2: Convert to fraction form
    12,444.26/19,264.39 = 19,264.39/x
  3. Step 3: Cross multiply
    12,444.26x = 19,264.39 × 19,264.39
  4. Step 4: Simplify right side
    12,444.26x = 371,116,896.66
  5. Step 5: Solve for x
    x = 371,116,896.66/12,444.26
  6. Step 6: Final answer
    x = 29,822.34

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