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Finding the Third Proportional to 49,821 and 74,784

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Solution

The third proportional to 49,821 and 74,784 is: 112,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,821 : 74,784 = 74,784 : x
  2. Step 2: Convert to fraction form
    49,821/74,784 = 74,784/x
  3. Step 3: Cross multiply
    49,821x = 74,784 × 74,784
  4. Step 4: Simplify right side
    49,821x = 5,592,646,656
  5. Step 5: Solve for x
    x = 5,592,646,656/49,821
  6. Step 6: Final answer
    x = 112,254.81

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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.