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Finding the Third Proportional to 19,615.50 and 29,042

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Solution

The third proportional to 19,615.50 and 29,042 is: 42,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.50 : 29,042 = 29,042 : x
  2. Step 2: Convert to fraction form
    19,615.50/29,042 = 29,042/x
  3. Step 3: Cross multiply
    19,615.50x = 29,042 × 29,042
  4. Step 4: Simplify right side
    19,615.50x = 843,437,764
  5. Step 5: Solve for x
    x = 843,437,764/19,615.50
  6. Step 6: Final answer
    x = 42,998.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.