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Finding the Third Proportional to 13,137.19 and 26,888.20

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Solution

The third proportional to 13,137.19 and 26,888.20 is: 55,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.19 : 26,888.20 = 26,888.20 : x
  2. Step 2: Convert to fraction form
    13,137.19/26,888.20 = 26,888.20/x
  3. Step 3: Cross multiply
    13,137.19x = 26,888.20 × 26,888.20
  4. Step 4: Simplify right side
    13,137.19x = 722,975,467.29
  5. Step 5: Solve for x
    x = 722,975,467.29/13,137.19
  6. Step 6: Final answer
    x = 55,032.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.