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Finding the Third Proportional to 12,110.45 and 25,972.63

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Solution

The third proportional to 12,110.45 and 25,972.63 is: 55,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.45 : 25,972.63 = 25,972.63 : x
  2. Step 2: Convert to fraction form
    12,110.45/25,972.63 = 25,972.63/x
  3. Step 3: Cross multiply
    12,110.45x = 25,972.63 × 25,972.63
  4. Step 4: Simplify right side
    12,110.45x = 674,577,452.30
  5. Step 5: Solve for x
    x = 674,577,452.30/12,110.45
  6. Step 6: Final answer
    x = 55,702.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.