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Finding the Third Proportional to 12,952.13 and 20,000.25

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Solution

The third proportional to 12,952.13 and 20,000.25 is: 30,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.13 : 20,000.25 = 20,000.25 : x
  2. Step 2: Convert to fraction form
    12,952.13/20,000.25 = 20,000.25/x
  3. Step 3: Cross multiply
    12,952.13x = 20,000.25 × 20,000.25
  4. Step 4: Simplify right side
    12,952.13x = 400,010,000.06
  5. Step 5: Solve for x
    x = 400,010,000.06/12,952.13
  6. Step 6: Final answer
    x = 30,883.74

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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.