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Finding the Third Proportional to 14,466 and 31,493.63

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Solution

The third proportional to 14,466 and 31,493.63 is: 68,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466 : 31,493.63 = 31,493.63 : x
  2. Step 2: Convert to fraction form
    14,466/31,493.63 = 31,493.63/x
  3. Step 3: Cross multiply
    14,466x = 31,493.63 × 31,493.63
  4. Step 4: Simplify right side
    14,466x = 991,848,415.64
  5. Step 5: Solve for x
    x = 991,848,415.64/14,466
  6. Step 6: Final answer
    x = 68,564.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.