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Finding the Third Proportional to 10,021 and 14,321

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Solution

The third proportional to 10,021 and 14,321 is: 20,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021 : 14,321 = 14,321 : x
  2. Step 2: Convert to fraction form
    10,021/14,321 = 14,321/x
  3. Step 3: Cross multiply
    10,021x = 14,321 × 14,321
  4. Step 4: Simplify right side
    10,021x = 205,091,041
  5. Step 5: Solve for x
    x = 205,091,041/10,021
  6. Step 6: Final answer
    x = 20,466.13

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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.