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Finding the Third Proportional to 30,613.50 and 44,871.75

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Solution

The third proportional to 30,613.50 and 44,871.75 is: 65,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.50 : 44,871.75 = 44,871.75 : x
  2. Step 2: Convert to fraction form
    30,613.50/44,871.75 = 44,871.75/x
  3. Step 3: Cross multiply
    30,613.50x = 44,871.75 × 44,871.75
  4. Step 4: Simplify right side
    30,613.50x = 2,013,473,948.06
  5. Step 5: Solve for x
    x = 2,013,473,948.06/30,613.50
  6. Step 6: Final answer
    x = 65,770.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.