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Finding the Third Proportional to 50,473.13 and 55,188.84

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Solution

The third proportional to 50,473.13 and 55,188.84 is: 60,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,473.13 : 55,188.84 = 55,188.84 : x
  2. Step 2: Convert to fraction form
    50,473.13/55,188.84 = 55,188.84/x
  3. Step 3: Cross multiply
    50,473.13x = 55,188.84 × 55,188.84
  4. Step 4: Simplify right side
    50,473.13x = 3,045,808,474.46
  5. Step 5: Solve for x
    x = 3,045,808,474.46/50,473.13
  6. Step 6: Final answer
    x = 60,345.15

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.