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Finding the Third Proportional to 9,824.25 and 15,023.25

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Solution

The third proportional to 9,824.25 and 15,023.25 is: 22,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.25 : 15,023.25 = 15,023.25 : x
  2. Step 2: Convert to fraction form
    9,824.25/15,023.25 = 15,023.25/x
  3. Step 3: Cross multiply
    9,824.25x = 15,023.25 × 15,023.25
  4. Step 4: Simplify right side
    9,824.25x = 225,698,040.56
  5. Step 5: Solve for x
    x = 225,698,040.56/9,824.25
  6. Step 6: Final answer
    x = 22,973.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.