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Finding the Third Proportional to 5,748.75 and 10,828.13

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Solution

The third proportional to 5,748.75 and 10,828.13 is: 20,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.75 : 10,828.13 = 10,828.13 : x
  2. Step 2: Convert to fraction form
    5,748.75/10,828.13 = 10,828.13/x
  3. Step 3: Cross multiply
    5,748.75x = 10,828.13 × 10,828.13
  4. Step 4: Simplify right side
    5,748.75x = 117,248,291.02
  5. Step 5: Solve for x
    x = 117,248,291.02/5,748.75
  6. Step 6: Final answer
    x = 20,395.44

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.