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Finding the Third Proportional to 14,715 and 31,995

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Solution

The third proportional to 14,715 and 31,995 is: 69,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715 : 31,995 = 31,995 : x
  2. Step 2: Convert to fraction form
    14,715/31,995 = 31,995/x
  3. Step 3: Cross multiply
    14,715x = 31,995 × 31,995
  4. Step 4: Simplify right side
    14,715x = 1,023,680,025
  5. Step 5: Solve for x
    x = 1,023,680,025/14,715
  6. Step 6: Final answer
    x = 69,567.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.