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Finding the Third Proportional to 10,233.53 and 15,623.67

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Solution

The third proportional to 10,233.53 and 15,623.67 is: 23,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.53 : 15,623.67 = 15,623.67 : x
  2. Step 2: Convert to fraction form
    10,233.53/15,623.67 = 15,623.67/x
  3. Step 3: Cross multiply
    10,233.53x = 15,623.67 × 15,623.67
  4. Step 4: Simplify right side
    10,233.53x = 244,098,939.77
  5. Step 5: Solve for x
    x = 244,098,939.77/10,233.53
  6. Step 6: Final answer
    x = 23,852.86

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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.