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Finding the Third Proportional to 12,894.19 and 28,218.38

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Solution

The third proportional to 12,894.19 and 28,218.38 is: 61,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.19 : 28,218.38 = 28,218.38 : x
  2. Step 2: Convert to fraction form
    12,894.19/28,218.38 = 28,218.38/x
  3. Step 3: Cross multiply
    12,894.19x = 28,218.38 × 28,218.38
  4. Step 4: Simplify right side
    12,894.19x = 796,276,687.64
  5. Step 5: Solve for x
    x = 796,276,687.64/12,894.19
  6. Step 6: Final answer
    x = 61,754.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.