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Finding the Third Proportional to 11,805.75 and 15,575.63

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Solution

The third proportional to 11,805.75 and 15,575.63 is: 20,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.75 : 15,575.63 = 15,575.63 : x
  2. Step 2: Convert to fraction form
    11,805.75/15,575.63 = 15,575.63/x
  3. Step 3: Cross multiply
    11,805.75x = 15,575.63 × 15,575.63
  4. Step 4: Simplify right side
    11,805.75x = 242,600,094.14
  5. Step 5: Solve for x
    x = 242,600,094.14/11,805.75
  6. Step 6: Final answer
    x = 20,549.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.