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Finding the Third Proportional to 14,266.76 and 33,539.70

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Solution

The third proportional to 14,266.76 and 33,539.70 is: 78,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.76 : 33,539.70 = 33,539.70 : x
  2. Step 2: Convert to fraction form
    14,266.76/33,539.70 = 33,539.70/x
  3. Step 3: Cross multiply
    14,266.76x = 33,539.70 × 33,539.70
  4. Step 4: Simplify right side
    14,266.76x = 1,124,911,161.66
  5. Step 5: Solve for x
    x = 1,124,911,161.66/14,266.76
  6. Step 6: Final answer
    x = 78,848.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.