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Finding the Third Proportional to 10,805.06 and 14,423.06

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Solution

The third proportional to 10,805.06 and 14,423.06 is: 19,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.06 : 14,423.06 = 14,423.06 : x
  2. Step 2: Convert to fraction form
    10,805.06/14,423.06 = 14,423.06/x
  3. Step 3: Cross multiply
    10,805.06x = 14,423.06 × 14,423.06
  4. Step 4: Simplify right side
    10,805.06x = 208,024,731.88
  5. Step 5: Solve for x
    x = 208,024,731.88/10,805.06
  6. Step 6: Final answer
    x = 19,252.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.