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Finding the Third Proportional to 27,742.50 and 43,071.75

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Solution

The third proportional to 27,742.50 and 43,071.75 is: 66,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.50 : 43,071.75 = 43,071.75 : x
  2. Step 2: Convert to fraction form
    27,742.50/43,071.75 = 43,071.75/x
  3. Step 3: Cross multiply
    27,742.50x = 43,071.75 × 43,071.75
  4. Step 4: Simplify right side
    27,742.50x = 1,855,175,648.06
  5. Step 5: Solve for x
    x = 1,855,175,648.06/27,742.50
  6. Step 6: Final answer
    x = 66,871.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.