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Finding the Third Proportional to 7,295.70 and 10,268.65

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Solution

The third proportional to 7,295.70 and 10,268.65 is: 14,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.70 : 10,268.65 = 10,268.65 : x
  2. Step 2: Convert to fraction form
    7,295.70/10,268.65 = 10,268.65/x
  3. Step 3: Cross multiply
    7,295.70x = 10,268.65 × 10,268.65
  4. Step 4: Simplify right side
    7,295.70x = 105,445,140.73
  5. Step 5: Solve for x
    x = 105,445,140.73/7,295.70
  6. Step 6: Final answer
    x = 14,453.06

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Why These Related Problems?

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