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Finding the Third Proportional to 14,884.31 and 31,815.70

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Solution

The third proportional to 14,884.31 and 31,815.70 is: 68,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.31 : 31,815.70 = 31,815.70 : x
  2. Step 2: Convert to fraction form
    14,884.31/31,815.70 = 31,815.70/x
  3. Step 3: Cross multiply
    14,884.31x = 31,815.70 × 31,815.70
  4. Step 4: Simplify right side
    14,884.31x = 1,012,238,965.34
  5. Step 5: Solve for x
    x = 1,012,238,965.34/14,884.31
  6. Step 6: Final answer
    x = 68,007.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.