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Finding the Third Proportional to 15,277.50 and 33,106.50

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Solution

The third proportional to 15,277.50 and 33,106.50 is: 71,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277.50 : 33,106.50 = 33,106.50 : x
  2. Step 2: Convert to fraction form
    15,277.50/33,106.50 = 33,106.50/x
  3. Step 3: Cross multiply
    15,277.50x = 33,106.50 × 33,106.50
  4. Step 4: Simplify right side
    15,277.50x = 1,096,040,342.25
  5. Step 5: Solve for x
    x = 1,096,040,342.25/15,277.50
  6. Step 6: Final answer
    x = 71,742.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.