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Finding the Third Proportional to 12,894.19 and 27,341.30

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Solution

The third proportional to 12,894.19 and 27,341.30 is: 57,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.19 : 27,341.30 = 27,341.30 : x
  2. Step 2: Convert to fraction form
    12,894.19/27,341.30 = 27,341.30/x
  3. Step 3: Cross multiply
    12,894.19x = 27,341.30 × 27,341.30
  4. Step 4: Simplify right side
    12,894.19x = 747,546,514.81
  5. Step 5: Solve for x
    x = 747,546,514.81/12,894.19
  6. Step 6: Final answer
    x = 57,975.46

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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.