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Finding the Third Proportional to 24,541.10 and 36,777.48

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Solution

The third proportional to 24,541.10 and 36,777.48 is: 55,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,541.10 : 36,777.48 = 36,777.48 : x
  2. Step 2: Convert to fraction form
    24,541.10/36,777.48 = 36,777.48/x
  3. Step 3: Cross multiply
    24,541.10x = 36,777.48 × 36,777.48
  4. Step 4: Simplify right side
    24,541.10x = 1,352,583,069.63
  5. Step 5: Solve for x
    x = 1,352,583,069.63/24,541.10
  6. Step 6: Final answer
    x = 55,115.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.