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Finding the Third Proportional to 9,898.50 and 21,011.63

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Solution

The third proportional to 9,898.50 and 21,011.63 is: 44,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.50 : 21,011.63 = 21,011.63 : x
  2. Step 2: Convert to fraction form
    9,898.50/21,011.63 = 21,011.63/x
  3. Step 3: Cross multiply
    9,898.50x = 21,011.63 × 21,011.63
  4. Step 4: Simplify right side
    9,898.50x = 441,488,385.14
  5. Step 5: Solve for x
    x = 441,488,385.14/9,898.50
  6. Step 6: Final answer
    x = 44,601.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.