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Finding the Third Proportional to 12,752.25 and 23,408.25

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Solution

The third proportional to 12,752.25 and 23,408.25 is: 42,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.25 : 23,408.25 = 23,408.25 : x
  2. Step 2: Convert to fraction form
    12,752.25/23,408.25 = 23,408.25/x
  3. Step 3: Cross multiply
    12,752.25x = 23,408.25 × 23,408.25
  4. Step 4: Simplify right side
    12,752.25x = 547,946,168.06
  5. Step 5: Solve for x
    x = 547,946,168.06/12,752.25
  6. Step 6: Final answer
    x = 42,968.59

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.