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Finding the Third Proportional to 14,040 and 30,591

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Solution

The third proportional to 14,040 and 30,591 is: 66,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,040 : 30,591 = 30,591 : x
  2. Step 2: Convert to fraction form
    14,040/30,591 = 30,591/x
  3. Step 3: Cross multiply
    14,040x = 30,591 × 30,591
  4. Step 4: Simplify right side
    14,040x = 935,809,281
  5. Step 5: Solve for x
    x = 935,809,281/14,040
  6. Step 6: Final answer
    x = 66,653.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.