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Finding the Third Proportional to 18,784 and 39,716

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Solution

The third proportional to 18,784 and 39,716 is: 83,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784 : 39,716 = 39,716 : x
  2. Step 2: Convert to fraction form
    18,784/39,716 = 39,716/x
  3. Step 3: Cross multiply
    18,784x = 39,716 × 39,716
  4. Step 4: Simplify right side
    18,784x = 1,577,360,656
  5. Step 5: Solve for x
    x = 1,577,360,656/18,784
  6. Step 6: Final answer
    x = 83,973.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.