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Finding the Third Proportional to 16,535 and 24,806

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Solution

The third proportional to 16,535 and 24,806 is: 37,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535 : 24,806 = 24,806 : x
  2. Step 2: Convert to fraction form
    16,535/24,806 = 24,806/x
  3. Step 3: Cross multiply
    16,535x = 24,806 × 24,806
  4. Step 4: Simplify right side
    16,535x = 615,337,636
  5. Step 5: Solve for x
    x = 615,337,636/16,535
  6. Step 6: Final answer
    x = 37,214.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.