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Finding the Third Proportional to 4,613.20 and 9,898.45

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Solution

The third proportional to 4,613.20 and 9,898.45 is: 21,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.20 : 9,898.45 = 9,898.45 : x
  2. Step 2: Convert to fraction form
    4,613.20/9,898.45 = 9,898.45/x
  3. Step 3: Cross multiply
    4,613.20x = 9,898.45 × 9,898.45
  4. Step 4: Simplify right side
    4,613.20x = 97,979,374.27
  5. Step 5: Solve for x
    x = 97,979,374.27/4,613.20
  6. Step 6: Final answer
    x = 21,238.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.