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Finding the Third Proportional to 9,063.75 and 12,763.75

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Solution

The third proportional to 9,063.75 and 12,763.75 is: 17,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,063.75 : 12,763.75 = 12,763.75 : x
  2. Step 2: Convert to fraction form
    9,063.75/12,763.75 = 12,763.75/x
  3. Step 3: Cross multiply
    9,063.75x = 12,763.75 × 12,763.75
  4. Step 4: Simplify right side
    9,063.75x = 162,913,314.06
  5. Step 5: Solve for x
    x = 162,913,314.06/9,063.75
  6. Step 6: Final answer
    x = 17,974.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.