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Finding the Third Proportional to 11,529.56 and 24,875.44

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Solution

The third proportional to 11,529.56 and 24,875.44 is: 53,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.56 : 24,875.44 = 24,875.44 : x
  2. Step 2: Convert to fraction form
    11,529.56/24,875.44 = 24,875.44/x
  3. Step 3: Cross multiply
    11,529.56x = 24,875.44 × 24,875.44
  4. Step 4: Simplify right side
    11,529.56x = 618,787,390.82
  5. Step 5: Solve for x
    x = 618,787,390.82/11,529.56
  6. Step 6: Final answer
    x = 53,669.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.