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Finding the Third Proportional to 12,285.42 and 19,483.66

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Solution

The third proportional to 12,285.42 and 19,483.66 is: 30,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.42 : 19,483.66 = 19,483.66 : x
  2. Step 2: Convert to fraction form
    12,285.42/19,483.66 = 19,483.66/x
  3. Step 3: Cross multiply
    12,285.42x = 19,483.66 × 19,483.66
  4. Step 4: Simplify right side
    12,285.42x = 379,613,165.30
  5. Step 5: Solve for x
    x = 379,613,165.30/12,285.42
  6. Step 6: Final answer
    x = 30,899.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.