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Finding the Third Proportional to 20,434.78 and 49,412.53

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Solution

The third proportional to 20,434.78 and 49,412.53 is: 119,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.78 : 49,412.53 = 49,412.53 : x
  2. Step 2: Convert to fraction form
    20,434.78/49,412.53 = 49,412.53/x
  3. Step 3: Cross multiply
    20,434.78x = 49,412.53 × 49,412.53
  4. Step 4: Simplify right side
    20,434.78x = 2,441,598,244.53
  5. Step 5: Solve for x
    x = 2,441,598,244.53/20,434.78
  6. Step 6: Final answer
    x = 119,482.48

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.