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Finding the Third Proportional to 7,731 and 14,358

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Solution

The third proportional to 7,731 and 14,358 is: 26,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731 : 14,358 = 14,358 : x
  2. Step 2: Convert to fraction form
    7,731/14,358 = 14,358/x
  3. Step 3: Cross multiply
    7,731x = 14,358 × 14,358
  4. Step 4: Simplify right side
    7,731x = 206,152,164
  5. Step 5: Solve for x
    x = 206,152,164/7,731
  6. Step 6: Final answer
    x = 26,665.65

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.