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Finding the Third Proportional to 4,854.30 and 10,475.58

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Solution

The third proportional to 4,854.30 and 10,475.58 is: 22,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.30 : 10,475.58 = 10,475.58 : x
  2. Step 2: Convert to fraction form
    4,854.30/10,475.58 = 10,475.58/x
  3. Step 3: Cross multiply
    4,854.30x = 10,475.58 × 10,475.58
  4. Step 4: Simplify right side
    4,854.30x = 109,737,737.05
  5. Step 5: Solve for x
    x = 109,737,737.05/4,854.30
  6. Step 6: Final answer
    x = 22,606.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.