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Finding the Third Proportional to 24,541.10 and 53,011.97

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Solution

The third proportional to 24,541.10 and 53,011.97 is: 114,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,541.10 : 53,011.97 = 53,011.97 : x
  2. Step 2: Convert to fraction form
    24,541.10/53,011.97 = 53,011.97/x
  3. Step 3: Cross multiply
    24,541.10x = 53,011.97 × 53,011.97
  4. Step 4: Simplify right side
    24,541.10x = 2,810,268,830.75
  5. Step 5: Solve for x
    x = 2,810,268,830.75/24,541.10
  6. Step 6: Final answer
    x = 114,512.74

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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.