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Finding the Third Proportional to 14,891 and 31,316

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Solution

The third proportional to 14,891 and 31,316 is: 65,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891 : 31,316 = 31,316 : x
  2. Step 2: Convert to fraction form
    14,891/31,316 = 31,316/x
  3. Step 3: Cross multiply
    14,891x = 31,316 × 31,316
  4. Step 4: Simplify right side
    14,891x = 980,691,856
  5. Step 5: Solve for x
    x = 980,691,856/14,891
  6. Step 6: Final answer
    x = 65,858.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.