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Finding the Third Proportional to 10,313.58 and 22,599.42

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Solution

The third proportional to 10,313.58 and 22,599.42 is: 49,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.58 : 22,599.42 = 22,599.42 : x
  2. Step 2: Convert to fraction form
    10,313.58/22,599.42 = 22,599.42/x
  3. Step 3: Cross multiply
    10,313.58x = 22,599.42 × 22,599.42
  4. Step 4: Simplify right side
    10,313.58x = 510,733,869.08
  5. Step 5: Solve for x
    x = 510,733,869.08/10,313.58
  6. Step 6: Final answer
    x = 49,520.53

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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.