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Finding the Third Proportional to 9,178.25 and 14,587.75

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Solution

The third proportional to 9,178.25 and 14,587.75 is: 23,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.25 : 14,587.75 = 14,587.75 : x
  2. Step 2: Convert to fraction form
    9,178.25/14,587.75 = 14,587.75/x
  3. Step 3: Cross multiply
    9,178.25x = 14,587.75 × 14,587.75
  4. Step 4: Simplify right side
    9,178.25x = 212,802,450.06
  5. Step 5: Solve for x
    x = 212,802,450.06/9,178.25
  6. Step 6: Final answer
    x = 23,185.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.