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Finding the Third Proportional to 15,394.22 and 23,057.16

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Solution

The third proportional to 15,394.22 and 23,057.16 is: 34,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,394.22 : 23,057.16 = 23,057.16 : x
  2. Step 2: Convert to fraction form
    15,394.22/23,057.16 = 23,057.16/x
  3. Step 3: Cross multiply
    15,394.22x = 23,057.16 × 23,057.16
  4. Step 4: Simplify right side
    15,394.22x = 531,632,454.34
  5. Step 5: Solve for x
    x = 531,632,454.34/15,394.22
  6. Step 6: Final answer
    x = 34,534.55

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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.