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Finding the Third Proportional to 19,496.25 and 29,419.88

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Solution

The third proportional to 19,496.25 and 29,419.88 is: 44,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.25 : 29,419.88 = 29,419.88 : x
  2. Step 2: Convert to fraction form
    19,496.25/29,419.88 = 29,419.88/x
  3. Step 3: Cross multiply
    19,496.25x = 29,419.88 × 29,419.88
  4. Step 4: Simplify right side
    19,496.25x = 865,529,045.02
  5. Step 5: Solve for x
    x = 865,529,045.02/19,496.25
  6. Step 6: Final answer
    x = 44,394.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.