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Finding the Third Proportional to 30,246.75 and 45,317.81

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Solution

The third proportional to 30,246.75 and 45,317.81 is: 67,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,246.75 : 45,317.81 = 45,317.81 : x
  2. Step 2: Convert to fraction form
    30,246.75/45,317.81 = 45,317.81/x
  3. Step 3: Cross multiply
    30,246.75x = 45,317.81 × 45,317.81
  4. Step 4: Simplify right side
    30,246.75x = 2,053,704,129.79
  5. Step 5: Solve for x
    x = 2,053,704,129.79/30,246.75
  6. Step 6: Final answer
    x = 67,898.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.