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Finding the Third Proportional to 27,630 and 43,222.50

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Solution

The third proportional to 27,630 and 43,222.50 is: 67,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,630 : 43,222.50 = 43,222.50 : x
  2. Step 2: Convert to fraction form
    27,630/43,222.50 = 43,222.50/x
  3. Step 3: Cross multiply
    27,630x = 43,222.50 × 43,222.50
  4. Step 4: Simplify right side
    27,630x = 1,868,184,506.25
  5. Step 5: Solve for x
    x = 1,868,184,506.25/27,630
  6. Step 6: Final answer
    x = 67,614.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.