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Finding the Third Proportional to 27,114.75 and 41,536.13

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Solution

The third proportional to 27,114.75 and 41,536.13 is: 63,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.75 : 41,536.13 = 41,536.13 : x
  2. Step 2: Convert to fraction form
    27,114.75/41,536.13 = 41,536.13/x
  3. Step 3: Cross multiply
    27,114.75x = 41,536.13 × 41,536.13
  4. Step 4: Simplify right side
    27,114.75x = 1,725,249,680.02
  5. Step 5: Solve for x
    x = 1,725,249,680.02/27,114.75
  6. Step 6: Final answer
    x = 63,627.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.