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Finding the Third Proportional to 14,502 and 16,014

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Solution

The third proportional to 14,502 and 16,014 is: 17,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502 : 16,014 = 16,014 : x
  2. Step 2: Convert to fraction form
    14,502/16,014 = 16,014/x
  3. Step 3: Cross multiply
    14,502x = 16,014 × 16,014
  4. Step 4: Simplify right side
    14,502x = 256,448,196
  5. Step 5: Solve for x
    x = 256,448,196/14,502
  6. Step 6: Final answer
    x = 17,683.64

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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.