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Finding the Third Proportional to 15,420.38 and 21,834.56

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Solution

The third proportional to 15,420.38 and 21,834.56 is: 30,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420.38 : 21,834.56 = 21,834.56 : x
  2. Step 2: Convert to fraction form
    15,420.38/21,834.56 = 21,834.56/x
  3. Step 3: Cross multiply
    15,420.38x = 21,834.56 × 21,834.56
  4. Step 4: Simplify right side
    15,420.38x = 476,748,119.57
  5. Step 5: Solve for x
    x = 476,748,119.57/15,420.38
  6. Step 6: Final answer
    x = 30,916.77

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.