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Finding the Third Proportional to 8,753.06 and 13,959.84

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Solution

The third proportional to 8,753.06 and 13,959.84 is: 22,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,753.06 : 13,959.84 = 13,959.84 : x
  2. Step 2: Convert to fraction form
    8,753.06/13,959.84 = 13,959.84/x
  3. Step 3: Cross multiply
    8,753.06x = 13,959.84 × 13,959.84
  4. Step 4: Simplify right side
    8,753.06x = 194,877,237.52
  5. Step 5: Solve for x
    x = 194,877,237.52/8,753.06
  6. Step 6: Final answer
    x = 22,263.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.