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Finding the Third Proportional to 19,419.75 and 25,575.75

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Solution

The third proportional to 19,419.75 and 25,575.75 is: 33,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.75 : 25,575.75 = 25,575.75 : x
  2. Step 2: Convert to fraction form
    19,419.75/25,575.75 = 25,575.75/x
  3. Step 3: Cross multiply
    19,419.75x = 25,575.75 × 25,575.75
  4. Step 4: Simplify right side
    19,419.75x = 654,118,988.06
  5. Step 5: Solve for x
    x = 654,118,988.06/19,419.75
  6. Step 6: Final answer
    x = 33,683.18

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.