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Finding the Third Proportional to 23,440 and 38,072

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Solution

The third proportional to 23,440 and 38,072 is: 61,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,440 : 38,072 = 38,072 : x
  2. Step 2: Convert to fraction form
    23,440/38,072 = 38,072/x
  3. Step 3: Cross multiply
    23,440x = 38,072 × 38,072
  4. Step 4: Simplify right side
    23,440x = 1,449,477,184
  5. Step 5: Solve for x
    x = 1,449,477,184/23,440
  6. Step 6: Final answer
    x = 61,837.76

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.