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Finding the Third Proportional to 14,038 and 20,057

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Solution

The third proportional to 14,038 and 20,057 is: 28,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038 : 20,057 = 20,057 : x
  2. Step 2: Convert to fraction form
    14,038/20,057 = 20,057/x
  3. Step 3: Cross multiply
    14,038x = 20,057 × 20,057
  4. Step 4: Simplify right side
    14,038x = 402,283,249
  5. Step 5: Solve for x
    x = 402,283,249/14,038
  6. Step 6: Final answer
    x = 28,656.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.