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Finding the Third Proportional to 47,044 and 65,940

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Solution

The third proportional to 47,044 and 65,940 is: 92,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,044 : 65,940 = 65,940 : x
  2. Step 2: Convert to fraction form
    47,044/65,940 = 65,940/x
  3. Step 3: Cross multiply
    47,044x = 65,940 × 65,940
  4. Step 4: Simplify right side
    47,044x = 4,348,083,600
  5. Step 5: Solve for x
    x = 4,348,083,600/47,044
  6. Step 6: Final answer
    x = 92,425.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.