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Finding the Third Proportional to 14,455 and 31,066

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Solution

The third proportional to 14,455 and 31,066 is: 66,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455 : 31,066 = 31,066 : x
  2. Step 2: Convert to fraction form
    14,455/31,066 = 31,066/x
  3. Step 3: Cross multiply
    14,455x = 31,066 × 31,066
  4. Step 4: Simplify right side
    14,455x = 965,096,356
  5. Step 5: Solve for x
    x = 965,096,356/14,455
  6. Step 6: Final answer
    x = 66,765.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.