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Finding the Third Proportional to 12,746.25 and 19,400.25

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Solution

The third proportional to 12,746.25 and 19,400.25 is: 29,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.25 : 19,400.25 = 19,400.25 : x
  2. Step 2: Convert to fraction form
    12,746.25/19,400.25 = 19,400.25/x
  3. Step 3: Cross multiply
    12,746.25x = 19,400.25 × 19,400.25
  4. Step 4: Simplify right side
    12,746.25x = 376,369,700.06
  5. Step 5: Solve for x
    x = 376,369,700.06/12,746.25
  6. Step 6: Final answer
    x = 29,527.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.