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Finding the Third Proportional to 26,060 and 50,823.50

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Solution

The third proportional to 26,060 and 50,823.50 is: 99,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,060 : 50,823.50 = 50,823.50 : x
  2. Step 2: Convert to fraction form
    26,060/50,823.50 = 50,823.50/x
  3. Step 3: Cross multiply
    26,060x = 50,823.50 × 50,823.50
  4. Step 4: Simplify right side
    26,060x = 2,583,028,152.25
  5. Step 5: Solve for x
    x = 2,583,028,152.25/26,060
  6. Step 6: Final answer
    x = 99,118.50

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.