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Finding the Third Proportional to 9,932.63 and 23,451.19

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Solution

The third proportional to 9,932.63 and 23,451.19 is: 55,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.63 : 23,451.19 = 23,451.19 : x
  2. Step 2: Convert to fraction form
    9,932.63/23,451.19 = 23,451.19/x
  3. Step 3: Cross multiply
    9,932.63x = 23,451.19 × 23,451.19
  4. Step 4: Simplify right side
    9,932.63x = 549,958,195.16
  5. Step 5: Solve for x
    x = 549,958,195.16/9,932.63
  6. Step 6: Final answer
    x = 55,368.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.