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Finding the Third Proportional to 29,814 and 41,783.75

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Solution

The third proportional to 29,814 and 41,783.75 is: 58,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814 : 41,783.75 = 41,783.75 : x
  2. Step 2: Convert to fraction form
    29,814/41,783.75 = 41,783.75/x
  3. Step 3: Cross multiply
    29,814x = 41,783.75 × 41,783.75
  4. Step 4: Simplify right side
    29,814x = 1,745,881,764.06
  5. Step 5: Solve for x
    x = 1,745,881,764.06/29,814
  6. Step 6: Final answer
    x = 58,559.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.