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Finding the Third Proportional to 13,988.50 and 21,118

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Solution

The third proportional to 13,988.50 and 21,118 is: 31,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.50 : 21,118 = 21,118 : x
  2. Step 2: Convert to fraction form
    13,988.50/21,118 = 21,118/x
  3. Step 3: Cross multiply
    13,988.50x = 21,118 × 21,118
  4. Step 4: Simplify right side
    13,988.50x = 445,969,924
  5. Step 5: Solve for x
    x = 445,969,924/13,988.50
  6. Step 6: Final answer
    x = 31,881.18

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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.