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Finding the Third Proportional to 9,744.94 and 14,705.06

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Solution

The third proportional to 9,744.94 and 14,705.06 is: 22,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.94 : 14,705.06 = 14,705.06 : x
  2. Step 2: Convert to fraction form
    9,744.94/14,705.06 = 14,705.06/x
  3. Step 3: Cross multiply
    9,744.94x = 14,705.06 × 14,705.06
  4. Step 4: Simplify right side
    9,744.94x = 216,238,863.13
  5. Step 5: Solve for x
    x = 216,238,863.13/9,744.94
  6. Step 6: Final answer
    x = 22,189.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.