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Finding the Third Proportional to 9,021 and 12,649.50

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Solution

The third proportional to 9,021 and 12,649.50 is: 17,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021 : 12,649.50 = 12,649.50 : x
  2. Step 2: Convert to fraction form
    9,021/12,649.50 = 12,649.50/x
  3. Step 3: Cross multiply
    9,021x = 12,649.50 × 12,649.50
  4. Step 4: Simplify right side
    9,021x = 160,009,850.25
  5. Step 5: Solve for x
    x = 160,009,850.25/9,021
  6. Step 6: Final answer
    x = 17,737.48

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.