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Finding the Third Proportional to 14,322 and 31,397.25

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Solution

The third proportional to 14,322 and 31,397.25 is: 68,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322 : 31,397.25 = 31,397.25 : x
  2. Step 2: Convert to fraction form
    14,322/31,397.25 = 31,397.25/x
  3. Step 3: Cross multiply
    14,322x = 31,397.25 × 31,397.25
  4. Step 4: Simplify right side
    14,322x = 985,787,307.56
  5. Step 5: Solve for x
    x = 985,787,307.56/14,322
  6. Step 6: Final answer
    x = 68,830.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.