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Finding the Third Proportional to 9,537.19 and 20,647.13

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Solution

The third proportional to 9,537.19 and 20,647.13 is: 44,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.19 : 20,647.13 = 20,647.13 : x
  2. Step 2: Convert to fraction form
    9,537.19/20,647.13 = 20,647.13/x
  3. Step 3: Cross multiply
    9,537.19x = 20,647.13 × 20,647.13
  4. Step 4: Simplify right side
    9,537.19x = 426,303,770.77
  5. Step 5: Solve for x
    x = 426,303,770.77/9,537.19
  6. Step 6: Final answer
    x = 44,699.11

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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.