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Finding the Third Proportional to 23,100.50 and 42,601.38

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Solution

The third proportional to 23,100.50 and 42,601.38 is: 78,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100.50 : 42,601.38 = 42,601.38 : x
  2. Step 2: Convert to fraction form
    23,100.50/42,601.38 = 42,601.38/x
  3. Step 3: Cross multiply
    23,100.50x = 42,601.38 × 42,601.38
  4. Step 4: Simplify right side
    23,100.50x = 1,814,877,151.89
  5. Step 5: Solve for x
    x = 1,814,877,151.89/23,100.50
  6. Step 6: Final answer
    x = 78,564.41

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.