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Finding the Third Proportional to 12,282 and 26,524.50

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Solution

The third proportional to 12,282 and 26,524.50 is: 57,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282 : 26,524.50 = 26,524.50 : x
  2. Step 2: Convert to fraction form
    12,282/26,524.50 = 26,524.50/x
  3. Step 3: Cross multiply
    12,282x = 26,524.50 × 26,524.50
  4. Step 4: Simplify right side
    12,282x = 703,549,100.25
  5. Step 5: Solve for x
    x = 703,549,100.25/12,282
  6. Step 6: Final answer
    x = 57,282.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.