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Finding the Third Proportional to 12,170.25 and 25,266.94

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Solution

The third proportional to 12,170.25 and 25,266.94 is: 52,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.25 : 25,266.94 = 25,266.94 : x
  2. Step 2: Convert to fraction form
    12,170.25/25,266.94 = 25,266.94/x
  3. Step 3: Cross multiply
    12,170.25x = 25,266.94 × 25,266.94
  4. Step 4: Simplify right side
    12,170.25x = 638,418,130.63
  5. Step 5: Solve for x
    x = 638,418,130.63/12,170.25
  6. Step 6: Final answer
    x = 52,457.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.