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Finding the Third Proportional to 19,584 and 46,188

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Solution

The third proportional to 19,584 and 46,188 is: 108,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584 : 46,188 = 46,188 : x
  2. Step 2: Convert to fraction form
    19,584/46,188 = 46,188/x
  3. Step 3: Cross multiply
    19,584x = 46,188 × 46,188
  4. Step 4: Simplify right side
    19,584x = 2,133,331,344
  5. Step 5: Solve for x
    x = 2,133,331,344/19,584
  6. Step 6: Final answer
    x = 108,932.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.