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Finding the Third Proportional to 15,740.72 and 23,762.67

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Solution

The third proportional to 15,740.72 and 23,762.67 is: 35,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.72 : 23,762.67 = 23,762.67 : x
  2. Step 2: Convert to fraction form
    15,740.72/23,762.67 = 23,762.67/x
  3. Step 3: Cross multiply
    15,740.72x = 23,762.67 × 23,762.67
  4. Step 4: Simplify right side
    15,740.72x = 564,664,574.64
  5. Step 5: Solve for x
    x = 564,664,574.64/15,740.72
  6. Step 6: Final answer
    x = 35,872.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.