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Finding the Third Proportional to 14,506 and 16,018

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Solution

The third proportional to 14,506 and 16,018 is: 17,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506 : 16,018 = 16,018 : x
  2. Step 2: Convert to fraction form
    14,506/16,018 = 16,018/x
  3. Step 3: Cross multiply
    14,506x = 16,018 × 16,018
  4. Step 4: Simplify right side
    14,506x = 256,576,324
  5. Step 5: Solve for x
    x = 256,576,324/14,506
  6. Step 6: Final answer
    x = 17,687.60

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.