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Finding the Third Proportional to 14,335 and 16,423

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Solution

The third proportional to 14,335 and 16,423 is: 18,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335 : 16,423 = 16,423 : x
  2. Step 2: Convert to fraction form
    14,335/16,423 = 16,423/x
  3. Step 3: Cross multiply
    14,335x = 16,423 × 16,423
  4. Step 4: Simplify right side
    14,335x = 269,714,929
  5. Step 5: Solve for x
    x = 269,714,929/14,335
  6. Step 6: Final answer
    x = 18,815.13

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.