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Finding the Third Proportional to 16,452 and 22,986

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Solution

The third proportional to 16,452 and 22,986 is: 32,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452 : 22,986 = 22,986 : x
  2. Step 2: Convert to fraction form
    16,452/22,986 = 22,986/x
  3. Step 3: Cross multiply
    16,452x = 22,986 × 22,986
  4. Step 4: Simplify right side
    16,452x = 528,356,196
  5. Step 5: Solve for x
    x = 528,356,196/16,452
  6. Step 6: Final answer
    x = 32,115.01

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.