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Finding the Third Proportional to 24,719.08 and 38,263.96

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Solution

The third proportional to 24,719.08 and 38,263.96 is: 59,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719.08 : 38,263.96 = 38,263.96 : x
  2. Step 2: Convert to fraction form
    24,719.08/38,263.96 = 38,263.96/x
  3. Step 3: Cross multiply
    24,719.08x = 38,263.96 × 38,263.96
  4. Step 4: Simplify right side
    24,719.08x = 1,464,130,407.69
  5. Step 5: Solve for x
    x = 1,464,130,407.69/24,719.08
  6. Step 6: Final answer
    x = 59,230.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.