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Finding the Third Proportional to 19,419.75 and 24,330.38

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Solution

The third proportional to 19,419.75 and 24,330.38 is: 30,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.75 : 24,330.38 = 24,330.38 : x
  2. Step 2: Convert to fraction form
    19,419.75/24,330.38 = 24,330.38/x
  3. Step 3: Cross multiply
    19,419.75x = 24,330.38 × 24,330.38
  4. Step 4: Simplify right side
    19,419.75x = 591,967,147.64
  5. Step 5: Solve for x
    x = 591,967,147.64/19,419.75
  6. Step 6: Final answer
    x = 30,482.74

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.