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Finding the Third Proportional to 12,951 and 20,000.25

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Solution

The third proportional to 12,951 and 20,000.25 is: 30,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951 : 20,000.25 = 20,000.25 : x
  2. Step 2: Convert to fraction form
    12,951/20,000.25 = 20,000.25/x
  3. Step 3: Cross multiply
    12,951x = 20,000.25 × 20,000.25
  4. Step 4: Simplify right side
    12,951x = 400,010,000.06
  5. Step 5: Solve for x
    x = 400,010,000.06/12,951
  6. Step 6: Final answer
    x = 30,886.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.