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Finding the Third Proportional to 13,029.75 and 26,987.63

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Solution

The third proportional to 13,029.75 and 26,987.63 is: 55,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.75 : 26,987.63 = 26,987.63 : x
  2. Step 2: Convert to fraction form
    13,029.75/26,987.63 = 26,987.63/x
  3. Step 3: Cross multiply
    13,029.75x = 26,987.63 × 26,987.63
  4. Step 4: Simplify right side
    13,029.75x = 728,331,903.14
  5. Step 5: Solve for x
    x = 728,331,903.14/13,029.75
  6. Step 6: Final answer
    x = 55,897.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.