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Finding the Third Proportional to 19,652.27 and 42,416.58

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Solution

The third proportional to 19,652.27 and 42,416.58 is: 91,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.27 : 42,416.58 = 42,416.58 : x
  2. Step 2: Convert to fraction form
    19,652.27/42,416.58 = 42,416.58/x
  3. Step 3: Cross multiply
    19,652.27x = 42,416.58 × 42,416.58
  4. Step 4: Simplify right side
    19,652.27x = 1,799,166,099.83
  5. Step 5: Solve for x
    x = 1,799,166,099.83/19,652.27
  6. Step 6: Final answer
    x = 91,550.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.