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Finding the Third Proportional to 21,124.50 and 39,587.25

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Solution

The third proportional to 21,124.50 and 39,587.25 is: 74,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.50 : 39,587.25 = 39,587.25 : x
  2. Step 2: Convert to fraction form
    21,124.50/39,587.25 = 39,587.25/x
  3. Step 3: Cross multiply
    21,124.50x = 39,587.25 × 39,587.25
  4. Step 4: Simplify right side
    21,124.50x = 1,567,150,362.56
  5. Step 5: Solve for x
    x = 1,567,150,362.56/21,124.50
  6. Step 6: Final answer
    x = 74,186.39

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.