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Finding the Third Proportional to 4,541.75 and 9,730.69

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Solution

The third proportional to 4,541.75 and 9,730.69 is: 20,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.75 : 9,730.69 = 9,730.69 : x
  2. Step 2: Convert to fraction form
    4,541.75/9,730.69 = 9,730.69/x
  3. Step 3: Cross multiply
    4,541.75x = 9,730.69 × 9,730.69
  4. Step 4: Simplify right side
    4,541.75x = 94,686,279.22
  5. Step 5: Solve for x
    x = 94,686,279.22/4,541.75
  6. Step 6: Final answer
    x = 20,847.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.