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Finding the Third Proportional to 30,051 and 45,785.25

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Solution

The third proportional to 30,051 and 45,785.25 is: 69,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,051 : 45,785.25 = 45,785.25 : x
  2. Step 2: Convert to fraction form
    30,051/45,785.25 = 45,785.25/x
  3. Step 3: Cross multiply
    30,051x = 45,785.25 × 45,785.25
  4. Step 4: Simplify right side
    30,051x = 2,096,289,117.56
  5. Step 5: Solve for x
    x = 2,096,289,117.56/30,051
  6. Step 6: Final answer
    x = 69,757.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.