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Finding the Third Proportional to 10,472 and 12,072

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Solution

The third proportional to 10,472 and 12,072 is: 13,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472 : 12,072 = 12,072 : x
  2. Step 2: Convert to fraction form
    10,472/12,072 = 12,072/x
  3. Step 3: Cross multiply
    10,472x = 12,072 × 12,072
  4. Step 4: Simplify right side
    10,472x = 145,733,184
  5. Step 5: Solve for x
    x = 145,733,184/10,472
  6. Step 6: Final answer
    x = 13,916.46

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.