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Finding the Third Proportional to 20,064 and 42,719.50

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Solution

The third proportional to 20,064 and 42,719.50 is: 90,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,064 : 42,719.50 = 42,719.50 : x
  2. Step 2: Convert to fraction form
    20,064/42,719.50 = 42,719.50/x
  3. Step 3: Cross multiply
    20,064x = 42,719.50 × 42,719.50
  4. Step 4: Simplify right side
    20,064x = 1,824,955,680.25
  5. Step 5: Solve for x
    x = 1,824,955,680.25/20,064
  6. Step 6: Final answer
    x = 90,956.72

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.