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Finding the Third Proportional to 39,744 and 53,784

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Solution

The third proportional to 39,744 and 53,784 is: 72,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744 : 53,784 = 53,784 : x
  2. Step 2: Convert to fraction form
    39,744/53,784 = 53,784/x
  3. Step 3: Cross multiply
    39,744x = 53,784 × 53,784
  4. Step 4: Simplify right side
    39,744x = 2,892,718,656
  5. Step 5: Solve for x
    x = 2,892,718,656/39,744
  6. Step 6: Final answer
    x = 72,783.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.