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Finding the Third Proportional to 15,302.25 and 22,993.88

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Solution

The third proportional to 15,302.25 and 22,993.88 is: 34,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,302.25 : 22,993.88 = 22,993.88 : x
  2. Step 2: Convert to fraction form
    15,302.25/22,993.88 = 22,993.88/x
  3. Step 3: Cross multiply
    15,302.25x = 22,993.88 × 22,993.88
  4. Step 4: Simplify right side
    15,302.25x = 528,718,287.52
  5. Step 5: Solve for x
    x = 528,718,287.52/15,302.25
  6. Step 6: Final answer
    x = 34,551.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.