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Finding the Third Proportional to 19,489.50 and 21,109.50

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Solution

The third proportional to 19,489.50 and 21,109.50 is: 22,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.50 : 21,109.50 = 21,109.50 : x
  2. Step 2: Convert to fraction form
    19,489.50/21,109.50 = 21,109.50/x
  3. Step 3: Cross multiply
    19,489.50x = 21,109.50 × 21,109.50
  4. Step 4: Simplify right side
    19,489.50x = 445,610,990.25
  5. Step 5: Solve for x
    x = 445,610,990.25/19,489.50
  6. Step 6: Final answer
    x = 22,864.16

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.