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Finding the Third Proportional to 14,798 and 31,783

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Solution

The third proportional to 14,798 and 31,783 is: 68,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798 : 31,783 = 31,783 : x
  2. Step 2: Convert to fraction form
    14,798/31,783 = 31,783/x
  3. Step 3: Cross multiply
    14,798x = 31,783 × 31,783
  4. Step 4: Simplify right side
    14,798x = 1,010,159,089
  5. Step 5: Solve for x
    x = 1,010,159,089/14,798
  6. Step 6: Final answer
    x = 68,263.22

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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.