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Finding the Third Proportional to 18,432 and 26,072

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Solution

The third proportional to 18,432 and 26,072 is: 36,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432 : 26,072 = 26,072 : x
  2. Step 2: Convert to fraction form
    18,432/26,072 = 26,072/x
  3. Step 3: Cross multiply
    18,432x = 26,072 × 26,072
  4. Step 4: Simplify right side
    18,432x = 679,749,184
  5. Step 5: Solve for x
    x = 679,749,184/18,432
  6. Step 6: Final answer
    x = 36,878.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.