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Finding the Third Proportional to 41,920.50 and 65,433

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Solution

The third proportional to 41,920.50 and 65,433 is: 102,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920.50 : 65,433 = 65,433 : x
  2. Step 2: Convert to fraction form
    41,920.50/65,433 = 65,433/x
  3. Step 3: Cross multiply
    41,920.50x = 65,433 × 65,433
  4. Step 4: Simplify right side
    41,920.50x = 4,281,477,489
  5. Step 5: Solve for x
    x = 4,281,477,489/41,920.50
  6. Step 6: Final answer
    x = 102,133.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.