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Finding the Third Proportional to 5,953.50 and 9,830.11

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Solution

The third proportional to 5,953.50 and 9,830.11 is: 16,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.50 : 9,830.11 = 9,830.11 : x
  2. Step 2: Convert to fraction form
    5,953.50/9,830.11 = 9,830.11/x
  3. Step 3: Cross multiply
    5,953.50x = 9,830.11 × 9,830.11
  4. Step 4: Simplify right side
    5,953.50x = 96,631,050.32
  5. Step 5: Solve for x
    x = 96,631,050.32/5,953.50
  6. Step 6: Final answer
    x = 16,230.97

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.