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Finding the Third Proportional to 5,929.45 and 12,542.34

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Solution

The third proportional to 5,929.45 and 12,542.34 is: 26,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.45 : 12,542.34 = 12,542.34 : x
  2. Step 2: Convert to fraction form
    5,929.45/12,542.34 = 12,542.34/x
  3. Step 3: Cross multiply
    5,929.45x = 12,542.34 × 12,542.34
  4. Step 4: Simplify right side
    5,929.45x = 157,310,386.74
  5. Step 5: Solve for x
    x = 157,310,386.74/5,929.45
  6. Step 6: Final answer
    x = 26,530.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.