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Finding the Third Proportional to 16,149 and 23,585.25

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Solution

The third proportional to 16,149 and 23,585.25 is: 34,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149 : 23,585.25 = 23,585.25 : x
  2. Step 2: Convert to fraction form
    16,149/23,585.25 = 23,585.25/x
  3. Step 3: Cross multiply
    16,149x = 23,585.25 × 23,585.25
  4. Step 4: Simplify right side
    16,149x = 556,264,017.56
  5. Step 5: Solve for x
    x = 556,264,017.56/16,149
  6. Step 6: Final answer
    x = 34,445.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.