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Finding the Third Proportional to 8,861.06 and 14,505.75

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Solution

The third proportional to 8,861.06 and 14,505.75 is: 23,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.06 : 14,505.75 = 14,505.75 : x
  2. Step 2: Convert to fraction form
    8,861.06/14,505.75 = 14,505.75/x
  3. Step 3: Cross multiply
    8,861.06x = 14,505.75 × 14,505.75
  4. Step 4: Simplify right side
    8,861.06x = 210,416,783.06
  5. Step 5: Solve for x
    x = 210,416,783.06/8,861.06
  6. Step 6: Final answer
    x = 23,746.22

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.