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Finding the Third Proportional to 4,861.90 and 10,746.11

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Solution

The third proportional to 4,861.90 and 10,746.11 is: 23,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.90 : 10,746.11 = 10,746.11 : x
  2. Step 2: Convert to fraction form
    4,861.90/10,746.11 = 10,746.11/x
  3. Step 3: Cross multiply
    4,861.90x = 10,746.11 × 10,746.11
  4. Step 4: Simplify right side
    4,861.90x = 115,478,782.75
  5. Step 5: Solve for x
    x = 115,478,782.75/4,861.90
  6. Step 6: Final answer
    x = 23,751.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.