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Finding the Third Proportional to 16,306 and 24,495

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Solution

The third proportional to 16,306 and 24,495 is: 36,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306 : 24,495 = 24,495 : x
  2. Step 2: Convert to fraction form
    16,306/24,495 = 24,495/x
  3. Step 3: Cross multiply
    16,306x = 24,495 × 24,495
  4. Step 4: Simplify right side
    16,306x = 600,005,025
  5. Step 5: Solve for x
    x = 600,005,025/16,306
  6. Step 6: Final answer
    x = 36,796.58

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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.