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Finding the Third Proportional to 8,962 and 13,752.50

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Solution

The third proportional to 8,962 and 13,752.50 is: 21,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962 : 13,752.50 = 13,752.50 : x
  2. Step 2: Convert to fraction form
    8,962/13,752.50 = 13,752.50/x
  3. Step 3: Cross multiply
    8,962x = 13,752.50 × 13,752.50
  4. Step 4: Simplify right side
    8,962x = 189,131,256.25
  5. Step 5: Solve for x
    x = 189,131,256.25/8,962
  6. Step 6: Final answer
    x = 21,103.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.