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Finding the Third Proportional to 29,904.19 and 43,519.78

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Solution

The third proportional to 29,904.19 and 43,519.78 is: 63,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904.19 : 43,519.78 = 43,519.78 : x
  2. Step 2: Convert to fraction form
    29,904.19/43,519.78 = 43,519.78/x
  3. Step 3: Cross multiply
    29,904.19x = 43,519.78 × 43,519.78
  4. Step 4: Simplify right side
    29,904.19x = 1,893,971,360.05
  5. Step 5: Solve for x
    x = 1,893,971,360.05/29,904.19
  6. Step 6: Final answer
    x = 63,334.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.