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Finding the Third Proportional to 9,972 and 15,225.75

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Solution

The third proportional to 9,972 and 15,225.75 is: 23,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 15,225.75 = 15,225.75 : x
  2. Step 2: Convert to fraction form
    9,972/15,225.75 = 15,225.75/x
  3. Step 3: Cross multiply
    9,972x = 15,225.75 × 15,225.75
  4. Step 4: Simplify right side
    9,972x = 231,823,463.06
  5. Step 5: Solve for x
    x = 231,823,463.06/9,972
  6. Step 6: Final answer
    x = 23,247.44

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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.