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Finding the Third Proportional to 14,798 and 31,782

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Solution

The third proportional to 14,798 and 31,782 is: 68,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798 : 31,782 = 31,782 : x
  2. Step 2: Convert to fraction form
    14,798/31,782 = 31,782/x
  3. Step 3: Cross multiply
    14,798x = 31,782 × 31,782
  4. Step 4: Simplify right side
    14,798x = 1,010,095,524
  5. Step 5: Solve for x
    x = 1,010,095,524/14,798
  6. Step 6: Final answer
    x = 68,258.92

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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.