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Finding the Third Proportional to 14,610 and 16,482

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Solution

The third proportional to 14,610 and 16,482 is: 18,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610 : 16,482 = 16,482 : x
  2. Step 2: Convert to fraction form
    14,610/16,482 = 16,482/x
  3. Step 3: Cross multiply
    14,610x = 16,482 × 16,482
  4. Step 4: Simplify right side
    14,610x = 271,656,324
  5. Step 5: Solve for x
    x = 271,656,324/14,610
  6. Step 6: Final answer
    x = 18,593.86

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.