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Finding the Third Proportional to 10,423.69 and 13,959.84

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Solution

The third proportional to 10,423.69 and 13,959.84 is: 18,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.69 : 13,959.84 = 13,959.84 : x
  2. Step 2: Convert to fraction form
    10,423.69/13,959.84 = 13,959.84/x
  3. Step 3: Cross multiply
    10,423.69x = 13,959.84 × 13,959.84
  4. Step 4: Simplify right side
    10,423.69x = 194,877,237.52
  5. Step 5: Solve for x
    x = 194,877,237.52/10,423.69
  6. Step 6: Final answer
    x = 18,695.61

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.