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Finding the Third Proportional to 12,285 and 26,031.38

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Solution

The third proportional to 12,285 and 26,031.38 is: 55,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285 : 26,031.38 = 26,031.38 : x
  2. Step 2: Convert to fraction form
    12,285/26,031.38 = 26,031.38/x
  3. Step 3: Cross multiply
    12,285x = 26,031.38 × 26,031.38
  4. Step 4: Simplify right side
    12,285x = 677,632,484.39
  5. Step 5: Solve for x
    x = 677,632,484.39/12,285
  6. Step 6: Final answer
    x = 55,159.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.