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Finding the Third Proportional to 21,368.81 and 23,100.19

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Solution

The third proportional to 21,368.81 and 23,100.19 is: 24,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,368.81 : 23,100.19 = 23,100.19 : x
  2. Step 2: Convert to fraction form
    21,368.81/23,100.19 = 23,100.19/x
  3. Step 3: Cross multiply
    21,368.81x = 23,100.19 × 23,100.19
  4. Step 4: Simplify right side
    21,368.81x = 533,618,662.54
  5. Step 5: Solve for x
    x = 533,618,662.54/21,368.81
  6. Step 6: Final answer
    x = 24,971.84

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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.