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Finding the Third Proportional to 19,615.81 and 25,186.19

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Solution

The third proportional to 19,615.81 and 25,186.19 is: 32,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.81 : 25,186.19 = 25,186.19 : x
  2. Step 2: Convert to fraction form
    19,615.81/25,186.19 = 25,186.19/x
  3. Step 3: Cross multiply
    19,615.81x = 25,186.19 × 25,186.19
  4. Step 4: Simplify right side
    19,615.81x = 634,344,040.79
  5. Step 5: Solve for x
    x = 634,344,040.79/19,615.81
  6. Step 6: Final answer
    x = 32,338.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.