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Finding the Third Proportional to 7,246.13 and 8,015.63

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Solution

The third proportional to 7,246.13 and 8,015.63 is: 8,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.13 : 8,015.63 = 8,015.63 : x
  2. Step 2: Convert to fraction form
    7,246.13/8,015.63 = 8,015.63/x
  3. Step 3: Cross multiply
    7,246.13x = 8,015.63 × 8,015.63
  4. Step 4: Simplify right side
    7,246.13x = 64,250,244.14
  5. Step 5: Solve for x
    x = 64,250,244.14/7,246.13
  6. Step 6: Final answer
    x = 8,866.84

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.