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Finding the Third Proportional to 16,409 and 38,565

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Solution

The third proportional to 16,409 and 38,565 is: 90,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409 : 38,565 = 38,565 : x
  2. Step 2: Convert to fraction form
    16,409/38,565 = 38,565/x
  3. Step 3: Cross multiply
    16,409x = 38,565 × 38,565
  4. Step 4: Simplify right side
    16,409x = 1,487,259,225
  5. Step 5: Solve for x
    x = 1,487,259,225/16,409
  6. Step 6: Final answer
    x = 90,636.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.