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Finding the Third Proportional to 14,010 and 30,783

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Solution

The third proportional to 14,010 and 30,783 is: 67,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010 : 30,783 = 30,783 : x
  2. Step 2: Convert to fraction form
    14,010/30,783 = 30,783/x
  3. Step 3: Cross multiply
    14,010x = 30,783 × 30,783
  4. Step 4: Simplify right side
    14,010x = 947,593,089
  5. Step 5: Solve for x
    x = 947,593,089/14,010
  6. Step 6: Final answer
    x = 67,636.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.