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Finding the Third Proportional to 24,890 and 32,838

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Solution

The third proportional to 24,890 and 32,838 is: 43,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,890 : 32,838 = 32,838 : x
  2. Step 2: Convert to fraction form
    24,890/32,838 = 32,838/x
  3. Step 3: Cross multiply
    24,890x = 32,838 × 32,838
  4. Step 4: Simplify right side
    24,890x = 1,078,334,244
  5. Step 5: Solve for x
    x = 1,078,334,244/24,890
  6. Step 6: Final answer
    x = 43,324.00

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.