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Finding the Third Proportional to 6,458.48 and 9,585.21

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Solution

The third proportional to 6,458.48 and 9,585.21 is: 14,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.48 : 9,585.21 = 9,585.21 : x
  2. Step 2: Convert to fraction form
    6,458.48/9,585.21 = 9,585.21/x
  3. Step 3: Cross multiply
    6,458.48x = 9,585.21 × 9,585.21
  4. Step 4: Simplify right side
    6,458.48x = 91,876,268.72
  5. Step 5: Solve for x
    x = 91,876,268.72/6,458.48
  6. Step 6: Final answer
    x = 14,225.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.