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Finding the Third Proportional to 15,960 and 34,324.50

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Solution

The third proportional to 15,960 and 34,324.50 is: 73,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960 : 34,324.50 = 34,324.50 : x
  2. Step 2: Convert to fraction form
    15,960/34,324.50 = 34,324.50/x
  3. Step 3: Cross multiply
    15,960x = 34,324.50 × 34,324.50
  4. Step 4: Simplify right side
    15,960x = 1,178,171,300.25
  5. Step 5: Solve for x
    x = 1,178,171,300.25/15,960
  6. Step 6: Final answer
    x = 73,820.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.