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Finding the Third Proportional to 27,029.95 and 43,043.27

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Solution

The third proportional to 27,029.95 and 43,043.27 is: 68,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.95 : 43,043.27 = 43,043.27 : x
  2. Step 2: Convert to fraction form
    27,029.95/43,043.27 = 43,043.27/x
  3. Step 3: Cross multiply
    27,029.95x = 43,043.27 × 43,043.27
  4. Step 4: Simplify right side
    27,029.95x = 1,852,723,388.22
  5. Step 5: Solve for x
    x = 1,852,723,388.22/27,029.95
  6. Step 6: Final answer
    x = 68,543.34

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Why These Related Problems?

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