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Finding the Third Proportional to 7,480.50 and 9,705.75

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Solution

The third proportional to 7,480.50 and 9,705.75 is: 12,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.50 : 9,705.75 = 9,705.75 : x
  2. Step 2: Convert to fraction form
    7,480.50/9,705.75 = 9,705.75/x
  3. Step 3: Cross multiply
    7,480.50x = 9,705.75 × 9,705.75
  4. Step 4: Simplify right side
    7,480.50x = 94,201,583.06
  5. Step 5: Solve for x
    x = 94,201,583.06/7,480.50
  6. Step 6: Final answer
    x = 12,592.95

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.