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Finding the Third Proportional to 8,499.75 and 14,047.13

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Solution

The third proportional to 8,499.75 and 14,047.13 is: 23,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.75 : 14,047.13 = 14,047.13 : x
  2. Step 2: Convert to fraction form
    8,499.75/14,047.13 = 14,047.13/x
  3. Step 3: Cross multiply
    8,499.75x = 14,047.13 × 14,047.13
  4. Step 4: Simplify right side
    8,499.75x = 197,321,720.77
  5. Step 5: Solve for x
    x = 197,321,720.77/8,499.75
  6. Step 6: Final answer
    x = 23,215.00

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.