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Finding the Third Proportional to 12,347.44 and 19,148.06

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Solution

The third proportional to 12,347.44 and 19,148.06 is: 29,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.44 : 19,148.06 = 19,148.06 : x
  2. Step 2: Convert to fraction form
    12,347.44/19,148.06 = 19,148.06/x
  3. Step 3: Cross multiply
    12,347.44x = 19,148.06 × 19,148.06
  4. Step 4: Simplify right side
    12,347.44x = 366,648,297.50
  5. Step 5: Solve for x
    x = 366,648,297.50/12,347.44
  6. Step 6: Final answer
    x = 29,694.28

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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.