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Finding the Third Proportional to 7,277.63 and 8,277.75

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Solution

The third proportional to 7,277.63 and 8,277.75 is: 9,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.63 : 8,277.75 = 8,277.75 : x
  2. Step 2: Convert to fraction form
    7,277.63/8,277.75 = 8,277.75/x
  3. Step 3: Cross multiply
    7,277.63x = 8,277.75 × 8,277.75
  4. Step 4: Simplify right side
    7,277.63x = 68,521,145.06
  5. Step 5: Solve for x
    x = 68,521,145.06/7,277.63
  6. Step 6: Final answer
    x = 9,415.32

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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.