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Finding the Third Proportional to 50,541.75 and 79,048.13

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Solution

The third proportional to 50,541.75 and 79,048.13 is: 123,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,541.75 : 79,048.13 = 79,048.13 : x
  2. Step 2: Convert to fraction form
    50,541.75/79,048.13 = 79,048.13/x
  3. Step 3: Cross multiply
    50,541.75x = 79,048.13 × 79,048.13
  4. Step 4: Simplify right side
    50,541.75x = 6,248,606,066.02
  5. Step 5: Solve for x
    x = 6,248,606,066.02/50,541.75
  6. Step 6: Final answer
    x = 123,632.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.