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Finding the Third Proportional to 16,584 and 23,444.25

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Solution

The third proportional to 16,584 and 23,444.25 is: 33,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584 : 23,444.25 = 23,444.25 : x
  2. Step 2: Convert to fraction form
    16,584/23,444.25 = 23,444.25/x
  3. Step 3: Cross multiply
    16,584x = 23,444.25 × 23,444.25
  4. Step 4: Simplify right side
    16,584x = 549,632,858.06
  5. Step 5: Solve for x
    x = 549,632,858.06/16,584
  6. Step 6: Final answer
    x = 33,142.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.