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Finding the Third Proportional to 14,954 and 31,457

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Solution

The third proportional to 14,954 and 31,457 is: 66,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954 : 31,457 = 31,457 : x
  2. Step 2: Convert to fraction form
    14,954/31,457 = 31,457/x
  3. Step 3: Cross multiply
    14,954x = 31,457 × 31,457
  4. Step 4: Simplify right side
    14,954x = 989,542,849
  5. Step 5: Solve for x
    x = 989,542,849/14,954
  6. Step 6: Final answer
    x = 66,172.45

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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.