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Finding the Third Proportional to 12,975.19 and 26,492.06

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Solution

The third proportional to 12,975.19 and 26,492.06 is: 54,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.19 : 26,492.06 = 26,492.06 : x
  2. Step 2: Convert to fraction form
    12,975.19/26,492.06 = 26,492.06/x
  3. Step 3: Cross multiply
    12,975.19x = 26,492.06 × 26,492.06
  4. Step 4: Simplify right side
    12,975.19x = 701,829,375.50
  5. Step 5: Solve for x
    x = 701,829,375.50/12,975.19
  6. Step 6: Final answer
    x = 54,090.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.