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Finding the Third Proportional to 11,775.38 and 18,948.94

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Solution

The third proportional to 11,775.38 and 18,948.94 is: 30,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.38 : 18,948.94 = 18,948.94 : x
  2. Step 2: Convert to fraction form
    11,775.38/18,948.94 = 18,948.94/x
  3. Step 3: Cross multiply
    11,775.38x = 18,948.94 × 18,948.94
  4. Step 4: Simplify right side
    11,775.38x = 359,062,232.38
  5. Step 5: Solve for x
    x = 359,062,232.38/11,775.38
  6. Step 6: Final answer
    x = 30,492.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.