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Finding the Third Proportional to 24,720.19 and 34,004.81

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Solution

The third proportional to 24,720.19 and 34,004.81 is: 46,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,720.19 : 34,004.81 = 34,004.81 : x
  2. Step 2: Convert to fraction form
    24,720.19/34,004.81 = 34,004.81/x
  3. Step 3: Cross multiply
    24,720.19x = 34,004.81 × 34,004.81
  4. Step 4: Simplify right side
    24,720.19x = 1,156,327,273.16
  5. Step 5: Solve for x
    x = 1,156,327,273.16/24,720.19
  6. Step 6: Final answer
    x = 46,776.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.