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Finding the Third Proportional to 19,477.13 and 29,400.47

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Solution

The third proportional to 19,477.13 and 29,400.47 is: 44,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.13 : 29,400.47 = 29,400.47 : x
  2. Step 2: Convert to fraction form
    19,477.13/29,400.47 = 29,400.47/x
  3. Step 3: Cross multiply
    19,477.13x = 29,400.47 × 29,400.47
  4. Step 4: Simplify right side
    19,477.13x = 864,387,562.72
  5. Step 5: Solve for x
    x = 864,387,562.72/19,477.13
  6. Step 6: Final answer
    x = 44,379.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.