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Finding the Third Proportional to 6,244.91 and 9,047.00

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Solution

The third proportional to 6,244.91 and 9,047.00 is: 13,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.91 : 9,047.00 = 9,047.00 : x
  2. Step 2: Convert to fraction form
    6,244.91/9,047.00 = 9,047.00/x
  3. Step 3: Cross multiply
    6,244.91x = 9,047.00 × 9,047.00
  4. Step 4: Simplify right side
    6,244.91x = 81,848,279.68
  5. Step 5: Solve for x
    x = 81,848,279.68/6,244.91
  6. Step 6: Final answer
    x = 13,106.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.