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Finding the Third Proportional to 19,699.50 and 29,913.56

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Solution

The third proportional to 19,699.50 and 29,913.56 is: 45,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.50 : 29,913.56 = 29,913.56 : x
  2. Step 2: Convert to fraction form
    19,699.50/29,913.56 = 29,913.56/x
  3. Step 3: Cross multiply
    19,699.50x = 29,913.56 × 29,913.56
  4. Step 4: Simplify right side
    19,699.50x = 894,821,221.44
  5. Step 5: Solve for x
    x = 894,821,221.44/19,699.50
  6. Step 6: Final answer
    x = 45,423.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.