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Finding the Third Proportional to 4,541.63 and 9,730.41

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Solution

The third proportional to 4,541.63 and 9,730.41 is: 20,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.63 : 9,730.41 = 9,730.41 : x
  2. Step 2: Convert to fraction form
    4,541.63/9,730.41 = 9,730.41/x
  3. Step 3: Cross multiply
    4,541.63x = 9,730.41 × 9,730.41
  4. Step 4: Simplify right side
    4,541.63x = 94,680,805.79
  5. Step 5: Solve for x
    x = 94,680,805.79/4,541.63
  6. Step 6: Final answer
    x = 20,847.34

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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.