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Finding the Third Proportional to 10,466 and 14,072

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Solution

The third proportional to 10,466 and 14,072 is: 18,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466 : 14,072 = 14,072 : x
  2. Step 2: Convert to fraction form
    10,466/14,072 = 14,072/x
  3. Step 3: Cross multiply
    10,466x = 14,072 × 14,072
  4. Step 4: Simplify right side
    10,466x = 198,021,184
  5. Step 5: Solve for x
    x = 198,021,184/10,466
  6. Step 6: Final answer
    x = 18,920.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.