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Finding the Third Proportional to 9,736.06 and 14,587.75

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Solution

The third proportional to 9,736.06 and 14,587.75 is: 21,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.06 : 14,587.75 = 14,587.75 : x
  2. Step 2: Convert to fraction form
    9,736.06/14,587.75 = 14,587.75/x
  3. Step 3: Cross multiply
    9,736.06x = 14,587.75 × 14,587.75
  4. Step 4: Simplify right side
    9,736.06x = 212,802,450.06
  5. Step 5: Solve for x
    x = 212,802,450.06/9,736.06
  6. Step 6: Final answer
    x = 21,857.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.