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Finding the Third Proportional to 10,590 and 24,621.75

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Solution

The third proportional to 10,590 and 24,621.75 is: 57,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590 : 24,621.75 = 24,621.75 : x
  2. Step 2: Convert to fraction form
    10,590/24,621.75 = 24,621.75/x
  3. Step 3: Cross multiply
    10,590x = 24,621.75 × 24,621.75
  4. Step 4: Simplify right side
    10,590x = 606,230,573.06
  5. Step 5: Solve for x
    x = 606,230,573.06/10,590
  6. Step 6: Final answer
    x = 57,245.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.