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Finding the Third Proportional to 11,045.25 and 23,457.38

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Solution

The third proportional to 11,045.25 and 23,457.38 is: 49,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,045.25 : 23,457.38 = 23,457.38 : x
  2. Step 2: Convert to fraction form
    11,045.25/23,457.38 = 23,457.38/x
  3. Step 3: Cross multiply
    11,045.25x = 23,457.38 × 23,457.38
  4. Step 4: Simplify right side
    11,045.25x = 550,248,441.89
  5. Step 5: Solve for x
    x = 550,248,441.89/11,045.25
  6. Step 6: Final answer
    x = 49,817.65

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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.