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Finding the Third Proportional to 8,465.63 and 19,469.81

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Solution

The third proportional to 8,465.63 and 19,469.81 is: 44,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.63 : 19,469.81 = 19,469.81 : x
  2. Step 2: Convert to fraction form
    8,465.63/19,469.81 = 19,469.81/x
  3. Step 3: Cross multiply
    8,465.63x = 19,469.81 × 19,469.81
  4. Step 4: Simplify right side
    8,465.63x = 379,073,598.79
  5. Step 5: Solve for x
    x = 379,073,598.79/8,465.63
  6. Step 6: Final answer
    x = 44,777.98

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.