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Finding the Third Proportional to 12,868.88 and 19,475.44

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Solution

The third proportional to 12,868.88 and 19,475.44 is: 29,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.88 : 19,475.44 = 19,475.44 : x
  2. Step 2: Convert to fraction form
    12,868.88/19,475.44 = 19,475.44/x
  3. Step 3: Cross multiply
    12,868.88x = 19,475.44 × 19,475.44
  4. Step 4: Simplify right side
    12,868.88x = 379,292,665.82
  5. Step 5: Solve for x
    x = 379,292,665.82/12,868.88
  6. Step 6: Final answer
    x = 29,473.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.