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Finding the Third Proportional to 19,402.03 and 29,962.41

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Solution

The third proportional to 19,402.03 and 29,962.41 is: 46,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402.03 : 29,962.41 = 29,962.41 : x
  2. Step 2: Convert to fraction form
    19,402.03/29,962.41 = 29,962.41/x
  3. Step 3: Cross multiply
    19,402.03x = 29,962.41 × 29,962.41
  4. Step 4: Simplify right side
    19,402.03x = 897,745,788.29
  5. Step 5: Solve for x
    x = 897,745,788.29/19,402.03
  6. Step 6: Final answer
    x = 46,270.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.