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Finding the Third Proportional to 4,573.13 and 10,531.69

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Solution

The third proportional to 4,573.13 and 10,531.69 is: 24,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.13 : 10,531.69 = 10,531.69 : x
  2. Step 2: Convert to fraction form
    4,573.13/10,531.69 = 10,531.69/x
  3. Step 3: Cross multiply
    4,573.13x = 10,531.69 × 10,531.69
  4. Step 4: Simplify right side
    4,573.13x = 110,916,441.60
  5. Step 5: Solve for x
    x = 110,916,441.60/4,573.13
  6. Step 6: Final answer
    x = 24,253.97

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.