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Finding the Third Proportional to 4,515.47 and 9,801.56

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Solution

The third proportional to 4,515.47 and 9,801.56 is: 21,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,515.47 : 9,801.56 = 9,801.56 : x
  2. Step 2: Convert to fraction form
    4,515.47/9,801.56 = 9,801.56/x
  3. Step 3: Cross multiply
    4,515.47x = 9,801.56 × 9,801.56
  4. Step 4: Simplify right side
    4,515.47x = 96,070,627.44
  5. Step 5: Solve for x
    x = 96,070,627.44/4,515.47
  6. Step 6: Final answer
    x = 21,275.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.