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Finding the Third Proportional to 10,072 and 15,376

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Solution

The third proportional to 10,072 and 15,376 is: 23,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 15,376 = 15,376 : x
  2. Step 2: Convert to fraction form
    10,072/15,376 = 15,376/x
  3. Step 3: Cross multiply
    10,072x = 15,376 × 15,376
  4. Step 4: Simplify right side
    10,072x = 236,421,376
  5. Step 5: Solve for x
    x = 236,421,376/10,072
  6. Step 6: Final answer
    x = 23,473.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.