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Finding the Third Proportional to 10,836 and 22,530.94

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Solution

The third proportional to 10,836 and 22,530.94 is: 46,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836 : 22,530.94 = 22,530.94 : x
  2. Step 2: Convert to fraction form
    10,836/22,530.94 = 22,530.94/x
  3. Step 3: Cross multiply
    10,836x = 22,530.94 × 22,530.94
  4. Step 4: Simplify right side
    10,836x = 507,643,144.63
  5. Step 5: Solve for x
    x = 507,643,144.63/10,836
  6. Step 6: Final answer
    x = 46,847.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.