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Finding the Third Proportional to 26,724 and 41,541

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Solution

The third proportional to 26,724 and 41,541 is: 64,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,724 : 41,541 = 41,541 : x
  2. Step 2: Convert to fraction form
    26,724/41,541 = 41,541/x
  3. Step 3: Cross multiply
    26,724x = 41,541 × 41,541
  4. Step 4: Simplify right side
    26,724x = 1,725,654,681
  5. Step 5: Solve for x
    x = 1,725,654,681/26,724
  6. Step 6: Final answer
    x = 64,573.22

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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.