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Finding the Third Proportional to 16,356 and 24,461

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Solution

The third proportional to 16,356 and 24,461 is: 36,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356 : 24,461 = 24,461 : x
  2. Step 2: Convert to fraction form
    16,356/24,461 = 24,461/x
  3. Step 3: Cross multiply
    16,356x = 24,461 × 24,461
  4. Step 4: Simplify right side
    16,356x = 598,340,521
  5. Step 5: Solve for x
    x = 598,340,521/16,356
  6. Step 6: Final answer
    x = 36,582.33

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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.