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Finding the Third Proportional to 30,613.49 and 47,284.38

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Solution

The third proportional to 30,613.49 and 47,284.38 is: 73,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.49 : 47,284.38 = 47,284.38 : x
  2. Step 2: Convert to fraction form
    30,613.49/47,284.38 = 47,284.38/x
  3. Step 3: Cross multiply
    30,613.49x = 47,284.38 × 47,284.38
  4. Step 4: Simplify right side
    30,613.49x = 2,235,812,857.96
  5. Step 5: Solve for x
    x = 2,235,812,857.96/30,613.49
  6. Step 6: Final answer
    x = 73,033.58

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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.