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Finding the Third Proportional to 18,384 and 39,360

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Solution

The third proportional to 18,384 and 39,360 is: 84,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384 : 39,360 = 39,360 : x
  2. Step 2: Convert to fraction form
    18,384/39,360 = 39,360/x
  3. Step 3: Cross multiply
    18,384x = 39,360 × 39,360
  4. Step 4: Simplify right side
    18,384x = 1,549,209,600
  5. Step 5: Solve for x
    x = 1,549,209,600/18,384
  6. Step 6: Final answer
    x = 84,269.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.