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Finding the Third Proportional to 36,030 and 54,541

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Solution

The third proportional to 36,030 and 54,541 is: 82,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,030 : 54,541 = 54,541 : x
  2. Step 2: Convert to fraction form
    36,030/54,541 = 54,541/x
  3. Step 3: Cross multiply
    36,030x = 54,541 × 54,541
  4. Step 4: Simplify right side
    36,030x = 2,974,720,681
  5. Step 5: Solve for x
    x = 2,974,720,681/36,030
  6. Step 6: Final answer
    x = 82,562.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.