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Finding the Third Proportional to 12,829.50 and 16,058.25

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Solution

The third proportional to 12,829.50 and 16,058.25 is: 20,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.50 : 16,058.25 = 16,058.25 : x
  2. Step 2: Convert to fraction form
    12,829.50/16,058.25 = 16,058.25/x
  3. Step 3: Cross multiply
    12,829.50x = 16,058.25 × 16,058.25
  4. Step 4: Simplify right side
    12,829.50x = 257,867,393.06
  5. Step 5: Solve for x
    x = 257,867,393.06/12,829.50
  6. Step 6: Final answer
    x = 20,099.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.