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Finding the Third Proportional to 19,229.91 and 29,101.64

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Solution

The third proportional to 19,229.91 and 29,101.64 is: 44,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229.91 : 29,101.64 = 29,101.64 : x
  2. Step 2: Convert to fraction form
    19,229.91/29,101.64 = 29,101.64/x
  3. Step 3: Cross multiply
    19,229.91x = 29,101.64 × 29,101.64
  4. Step 4: Simplify right side
    19,229.91x = 846,905,487.07
  5. Step 5: Solve for x
    x = 846,905,487.07/19,229.91
  6. Step 6: Final answer
    x = 44,041.06

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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.