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Finding the Third Proportional to 16,452 and 25,470

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Solution

The third proportional to 16,452 and 25,470 is: 39,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452 : 25,470 = 25,470 : x
  2. Step 2: Convert to fraction form
    16,452/25,470 = 25,470/x
  3. Step 3: Cross multiply
    16,452x = 25,470 × 25,470
  4. Step 4: Simplify right side
    16,452x = 648,720,900
  5. Step 5: Solve for x
    x = 648,720,900/16,452
  6. Step 6: Final answer
    x = 39,431.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.