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Finding the Third Proportional to 2,457 and 5,931

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Solution

The third proportional to 2,457 and 5,931 is: 14,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457 : 5,931 = 5,931 : x
  2. Step 2: Convert to fraction form
    2,457/5,931 = 5,931/x
  3. Step 3: Cross multiply
    2,457x = 5,931 × 5,931
  4. Step 4: Simplify right side
    2,457x = 35,176,761
  5. Step 5: Solve for x
    x = 35,176,761/2,457
  6. Step 6: Final answer
    x = 14,316.96

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.