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Finding the Third Proportional to 24,268 and 32,613

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Solution

The third proportional to 24,268 and 32,613 is: 43,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,268 : 32,613 = 32,613 : x
  2. Step 2: Convert to fraction form
    24,268/32,613 = 32,613/x
  3. Step 3: Cross multiply
    24,268x = 32,613 × 32,613
  4. Step 4: Simplify right side
    24,268x = 1,063,607,769
  5. Step 5: Solve for x
    x = 1,063,607,769/24,268
  6. Step 6: Final answer
    x = 43,827.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.