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Finding the Third Proportional to 44,865 and 49,056.75

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Solution

The third proportional to 44,865 and 49,056.75 is: 53,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,865 : 49,056.75 = 49,056.75 : x
  2. Step 2: Convert to fraction form
    44,865/49,056.75 = 49,056.75/x
  3. Step 3: Cross multiply
    44,865x = 49,056.75 × 49,056.75
  4. Step 4: Simplify right side
    44,865x = 2,406,564,720.56
  5. Step 5: Solve for x
    x = 2,406,564,720.56/44,865
  6. Step 6: Final answer
    x = 53,640.14

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.