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Finding the Third Proportional to 36,541.13 and 54,664.88

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Solution

The third proportional to 36,541.13 and 54,664.88 is: 81,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,541.13 : 54,664.88 = 54,664.88 : x
  2. Step 2: Convert to fraction form
    36,541.13/54,664.88 = 54,664.88/x
  3. Step 3: Cross multiply
    36,541.13x = 54,664.88 × 54,664.88
  4. Step 4: Simplify right side
    36,541.13x = 2,988,248,558.77
  5. Step 5: Solve for x
    x = 2,988,248,558.77/36,541.13
  6. Step 6: Final answer
    x = 81,777.68

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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.