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Finding the Third Proportional to 45,315 and 69,954.75

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Solution

The third proportional to 45,315 and 69,954.75 is: 107,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,315 : 69,954.75 = 69,954.75 : x
  2. Step 2: Convert to fraction form
    45,315/69,954.75 = 69,954.75/x
  3. Step 3: Cross multiply
    45,315x = 69,954.75 × 69,954.75
  4. Step 4: Simplify right side
    45,315x = 4,893,667,047.56
  5. Step 5: Solve for x
    x = 4,893,667,047.56/45,315
  6. Step 6: Final answer
    x = 107,992.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.