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Finding the Third Proportional to 12,643.50 and 19,128

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Solution

The third proportional to 12,643.50 and 19,128 is: 28,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.50 : 19,128 = 19,128 : x
  2. Step 2: Convert to fraction form
    12,643.50/19,128 = 19,128/x
  3. Step 3: Cross multiply
    12,643.50x = 19,128 × 19,128
  4. Step 4: Simplify right side
    12,643.50x = 365,880,384
  5. Step 5: Solve for x
    x = 365,880,384/12,643.50
  6. Step 6: Final answer
    x = 28,938.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.