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Finding the Third Proportional to 30,543 and 49,284.75

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Solution

The third proportional to 30,543 and 49,284.75 is: 79,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543 : 49,284.75 = 49,284.75 : x
  2. Step 2: Convert to fraction form
    30,543/49,284.75 = 49,284.75/x
  3. Step 3: Cross multiply
    30,543x = 49,284.75 × 49,284.75
  4. Step 4: Simplify right side
    30,543x = 2,428,986,582.56
  5. Step 5: Solve for x
    x = 2,428,986,582.56/30,543
  6. Step 6: Final answer
    x = 79,526.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.