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Finding the Third Proportional to 41,650 and 60,913

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Solution

The third proportional to 41,650 and 60,913 is: 89,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,650 : 60,913 = 60,913 : x
  2. Step 2: Convert to fraction form
    41,650/60,913 = 60,913/x
  3. Step 3: Cross multiply
    41,650x = 60,913 × 60,913
  4. Step 4: Simplify right side
    41,650x = 3,710,393,569
  5. Step 5: Solve for x
    x = 3,710,393,569/41,650
  6. Step 6: Final answer
    x = 89,085.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.