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Finding the Third Proportional to 6,464.81 and 7,376.06

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Solution

The third proportional to 6,464.81 and 7,376.06 is: 8,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.81 : 7,376.06 = 7,376.06 : x
  2. Step 2: Convert to fraction form
    6,464.81/7,376.06 = 7,376.06/x
  3. Step 3: Cross multiply
    6,464.81x = 7,376.06 × 7,376.06
  4. Step 4: Simplify right side
    6,464.81x = 54,406,298.00
  5. Step 5: Solve for x
    x = 54,406,298.00/6,464.81
  6. Step 6: Final answer
    x = 8,415.76

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.