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Finding the Third Proportional to 29,187 and 45,438.75

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Solution

The third proportional to 29,187 and 45,438.75 is: 70,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,187 : 45,438.75 = 45,438.75 : x
  2. Step 2: Convert to fraction form
    29,187/45,438.75 = 45,438.75/x
  3. Step 3: Cross multiply
    29,187x = 45,438.75 × 45,438.75
  4. Step 4: Simplify right side
    29,187x = 2,064,680,001.56
  5. Step 5: Solve for x
    x = 2,064,680,001.56/29,187
  6. Step 6: Final answer
    x = 70,739.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.